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Simplifying -2(7 + -1x) = 3(4x + 8) (7 * -2 + -1x * -2) = 3(4x + 8) (-14 + 2x) = 3(4x + 8) Reorder the terms: -14 + 2x = 3(8 + 4x) -14 + 2x = (8 * 3 + 4x * 3) -14 + 2x = (24 + 12x) Solving -14 + 2x = 24 + 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. -14 + 2x + -12x = 24 + 12x + -12x Combine like terms: 2x + -12x = -10x -14 + -10x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -10x = 24 + 0 -14 + -10x = 24 Add '14' to each side of the equation. -14 + 14 + -10x = 24 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 24 + 14 -10x = 24 + 14 Combine like terms: 24 + 14 = 38 -10x = 38 Divide each side by '-10'. x = -3.8 Simplifying x = -3.8
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