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Simplifying 3(2x + -5) + -2(5x + 4) = 7(2x + -1) + -1(3X + 1) Reorder the terms: 3(-5 + 2x) + -2(5x + 4) = 7(2x + -1) + -1(3X + 1) (-5 * 3 + 2x * 3) + -2(5x + 4) = 7(2x + -1) + -1(3X + 1) (-15 + 6x) + -2(5x + 4) = 7(2x + -1) + -1(3X + 1) Reorder the terms: -15 + 6x + -2(4 + 5x) = 7(2x + -1) + -1(3X + 1) -15 + 6x + (4 * -2 + 5x * -2) = 7(2x + -1) + -1(3X + 1) -15 + 6x + (-8 + -10x) = 7(2x + -1) + -1(3X + 1) Reorder the terms: -15 + -8 + 6x + -10x = 7(2x + -1) + -1(3X + 1) Combine like terms: -15 + -8 = -23 -23 + 6x + -10x = 7(2x + -1) + -1(3X + 1) Combine like terms: 6x + -10x = -4x -23 + -4x = 7(2x + -1) + -1(3X + 1) Reorder the terms: -23 + -4x = 7(-1 + 2x) + -1(3X + 1) -23 + -4x = (-1 * 7 + 2x * 7) + -1(3X + 1) -23 + -4x = (-7 + 14x) + -1(3X + 1) Reorder the terms: -23 + -4x = -7 + 14x + -1(1 + 3X) -23 + -4x = -7 + 14x + (1 * -1 + 3X * -1) -23 + -4x = -7 + 14x + (-1 + -3X) Reorder the terms: -23 + -4x = -7 + -1 + -3X + 14x Combine like terms: -7 + -1 = -8 -23 + -4x = -8 + -3X + 14x Solving -23 + -4x = -8 + -3X + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -23 + -4x + -14x = -8 + -3X + 14x + -14x Combine like terms: -4x + -14x = -18x -23 + -18x = -8 + -3X + 14x + -14x Combine like terms: 14x + -14x = 0 -23 + -18x = -8 + -3X + 0 -23 + -18x = -8 + -3X Add '23' to each side of the equation. -23 + 23 + -18x = -8 + 23 + -3X Combine like terms: -23 + 23 = 0 0 + -18x = -8 + 23 + -3X -18x = -8 + 23 + -3X Combine like terms: -8 + 23 = 15 -18x = 15 + -3X Divide each side by '-18'. x = -0.8333333333 + 0.1666666667X Simplifying x = -0.8333333333 + 0.1666666667X
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