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Simplifying 6 + -2(x + -1) = 3(x + -4) Reorder the terms: 6 + -2(-1 + x) = 3(x + -4) 6 + (-1 * -2 + x * -2) = 3(x + -4) 6 + (2 + -2x) = 3(x + -4) Combine like terms: 6 + 2 = 8 8 + -2x = 3(x + -4) Reorder the terms: 8 + -2x = 3(-4 + x) 8 + -2x = (-4 * 3 + x * 3) 8 + -2x = (-12 + 3x) Solving 8 + -2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -2x + -3x = -12 + 3x + -3x Combine like terms: -2x + -3x = -5x 8 + -5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -5x = -12 + 0 8 + -5x = -12 Add '-8' to each side of the equation. 8 + -8 + -5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -12 + -8 -5x = -12 + -8 Combine like terms: -12 + -8 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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