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Simplifying 6(12x + -3) + 5(-1(6x + -4) + 7x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) Reorder the terms: 6(-3 + 12x) + 5(-1(6x + -4) + 7x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) (-3 * 6 + 12x * 6) + 5(-1(6x + -4) + 7x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) (-18 + 72x) + 5(-1(6x + -4) + 7x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) Reorder the terms: -18 + 72x + 5(-1(-4 + 6x) + 7x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) -18 + 72x + 5((-4 * -1 + 6x * -1) + 7x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) -18 + 72x + 5((4 + -6x) + 7x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) Combine like terms: -6x + 7x = 1x -18 + 72x + 5(4 + 1x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) -18 + 72x + (4 * 5 + 1x * 5) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) -18 + 72x + (20 + 5x) + (-3x + -8) = 9(-9x + 3) + 9(x + -5) Reorder the terms: -18 + 72x + 20 + 5x + (-8 + -3x) = 9(-9x + 3) + 9(x + -5) Remove parenthesis around (-8 + -3x) -18 + 72x + 20 + 5x + -8 + -3x = 9(-9x + 3) + 9(x + -5) Reorder the terms: -18 + 20 + -8 + 72x + 5x + -3x = 9(-9x + 3) + 9(x + -5) Combine like terms: -18 + 20 = 2 2 + -8 + 72x + 5x + -3x = 9(-9x + 3) + 9(x + -5) Combine like terms: 2 + -8 = -6 -6 + 72x + 5x + -3x = 9(-9x + 3) + 9(x + -5) Combine like terms: 72x + 5x = 77x -6 + 77x + -3x = 9(-9x + 3) + 9(x + -5) Combine like terms: 77x + -3x = 74x -6 + 74x = 9(-9x + 3) + 9(x + -5) Reorder the terms: -6 + 74x = 9(3 + -9x) + 9(x + -5) -6 + 74x = (3 * 9 + -9x * 9) + 9(x + -5) -6 + 74x = (27 + -81x) + 9(x + -5) Reorder the terms: -6 + 74x = 27 + -81x + 9(-5 + x) -6 + 74x = 27 + -81x + (-5 * 9 + x * 9) -6 + 74x = 27 + -81x + (-45 + 9x) Reorder the terms: -6 + 74x = 27 + -45 + -81x + 9x Combine like terms: 27 + -45 = -18 -6 + 74x = -18 + -81x + 9x Combine like terms: -81x + 9x = -72x -6 + 74x = -18 + -72x Solving -6 + 74x = -18 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -6 + 74x + 72x = -18 + -72x + 72x Combine like terms: 74x + 72x = 146x -6 + 146x = -18 + -72x + 72x Combine like terms: -72x + 72x = 0 -6 + 146x = -18 + 0 -6 + 146x = -18 Add '6' to each side of the equation. -6 + 6 + 146x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 146x = -18 + 6 146x = -18 + 6 Combine like terms: -18 + 6 = -12 146x = -12 Divide each side by '146'. x = -0.08219178082 Simplifying x = -0.08219178082
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