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Simplifying -1(6x + -4) + -1(2x + -3) + 5 = -7(x + -2) + -1(6x + 4) + 8 Reorder the terms: -1(-4 + 6x) + -1(2x + -3) + 5 = -7(x + -2) + -1(6x + 4) + 8 (-4 * -1 + 6x * -1) + -1(2x + -3) + 5 = -7(x + -2) + -1(6x + 4) + 8 (4 + -6x) + -1(2x + -3) + 5 = -7(x + -2) + -1(6x + 4) + 8 Reorder the terms: 4 + -6x + -1(-3 + 2x) + 5 = -7(x + -2) + -1(6x + 4) + 8 4 + -6x + (-3 * -1 + 2x * -1) + 5 = -7(x + -2) + -1(6x + 4) + 8 4 + -6x + (3 + -2x) + 5 = -7(x + -2) + -1(6x + 4) + 8 Reorder the terms: 4 + 3 + 5 + -6x + -2x = -7(x + -2) + -1(6x + 4) + 8 Combine like terms: 4 + 3 = 7 7 + 5 + -6x + -2x = -7(x + -2) + -1(6x + 4) + 8 Combine like terms: 7 + 5 = 12 12 + -6x + -2x = -7(x + -2) + -1(6x + 4) + 8 Combine like terms: -6x + -2x = -8x 12 + -8x = -7(x + -2) + -1(6x + 4) + 8 Reorder the terms: 12 + -8x = -7(-2 + x) + -1(6x + 4) + 8 12 + -8x = (-2 * -7 + x * -7) + -1(6x + 4) + 8 12 + -8x = (14 + -7x) + -1(6x + 4) + 8 Reorder the terms: 12 + -8x = 14 + -7x + -1(4 + 6x) + 8 12 + -8x = 14 + -7x + (4 * -1 + 6x * -1) + 8 12 + -8x = 14 + -7x + (-4 + -6x) + 8 Reorder the terms: 12 + -8x = 14 + -4 + 8 + -7x + -6x Combine like terms: 14 + -4 = 10 12 + -8x = 10 + 8 + -7x + -6x Combine like terms: 10 + 8 = 18 12 + -8x = 18 + -7x + -6x Combine like terms: -7x + -6x = -13x 12 + -8x = 18 + -13x Solving 12 + -8x = 18 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 12 + -8x + 13x = 18 + -13x + 13x Combine like terms: -8x + 13x = 5x 12 + 5x = 18 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 5x = 18 + 0 12 + 5x = 18 Add '-12' to each side of the equation. 12 + -12 + 5x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 18 + -12 5x = 18 + -12 Combine like terms: 18 + -12 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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