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Simplifying 3(4x + -2) + -1(8x + -2) = 9 + 2(8x + -3) + -5x Reorder the terms: 3(-2 + 4x) + -1(8x + -2) = 9 + 2(8x + -3) + -5x (-2 * 3 + 4x * 3) + -1(8x + -2) = 9 + 2(8x + -3) + -5x (-6 + 12x) + -1(8x + -2) = 9 + 2(8x + -3) + -5x Reorder the terms: -6 + 12x + -1(-2 + 8x) = 9 + 2(8x + -3) + -5x -6 + 12x + (-2 * -1 + 8x * -1) = 9 + 2(8x + -3) + -5x -6 + 12x + (2 + -8x) = 9 + 2(8x + -3) + -5x Reorder the terms: -6 + 2 + 12x + -8x = 9 + 2(8x + -3) + -5x Combine like terms: -6 + 2 = -4 -4 + 12x + -8x = 9 + 2(8x + -3) + -5x Combine like terms: 12x + -8x = 4x -4 + 4x = 9 + 2(8x + -3) + -5x Reorder the terms: -4 + 4x = 9 + 2(-3 + 8x) + -5x -4 + 4x = 9 + (-3 * 2 + 8x * 2) + -5x -4 + 4x = 9 + (-6 + 16x) + -5x Combine like terms: 9 + -6 = 3 -4 + 4x = 3 + 16x + -5x Combine like terms: 16x + -5x = 11x -4 + 4x = 3 + 11x Solving -4 + 4x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -4 + 4x + -11x = 3 + 11x + -11x Combine like terms: 4x + -11x = -7x -4 + -7x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -7x = 3 + 0 -4 + -7x = 3 Add '4' to each side of the equation. -4 + 4 + -7x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 3 + 4 -7x = 3 + 4 Combine like terms: 3 + 4 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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