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