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Simplifying -1(3x + 4) = 2(6x + 8) Reorder the terms: -1(4 + 3x) = 2(6x + 8) (4 * -1 + 3x * -1) = 2(6x + 8) (-4 + -3x) = 2(6x + 8) Reorder the terms: -4 + -3x = 2(8 + 6x) -4 + -3x = (8 * 2 + 6x * 2) -4 + -3x = (16 + 12x) Solving -4 + -3x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + -3x + -12x = 16 + 12x + -12x Combine like terms: -3x + -12x = -15x -4 + -15x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -15x = 16 + 0 -4 + -15x = 16 Add '4' to each side of the equation. -4 + 4 + -15x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -15x = 16 + 4 -15x = 16 + 4 Combine like terms: 16 + 4 = 20 -15x = 20 Divide each side by '-15'. x = -1.333333333 Simplifying x = -1.333333333
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