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Simplifying -3(4x + 2) + 2(x + -6) = -2(x + 1) Reorder the terms: -3(2 + 4x) + 2(x + -6) = -2(x + 1) (2 * -3 + 4x * -3) + 2(x + -6) = -2(x + 1) (-6 + -12x) + 2(x + -6) = -2(x + 1) Reorder the terms: -6 + -12x + 2(-6 + x) = -2(x + 1) -6 + -12x + (-6 * 2 + x * 2) = -2(x + 1) -6 + -12x + (-12 + 2x) = -2(x + 1) Reorder the terms: -6 + -12 + -12x + 2x = -2(x + 1) Combine like terms: -6 + -12 = -18 -18 + -12x + 2x = -2(x + 1) Combine like terms: -12x + 2x = -10x -18 + -10x = -2(x + 1) Reorder the terms: -18 + -10x = -2(1 + x) -18 + -10x = (1 * -2 + x * -2) -18 + -10x = (-2 + -2x) Solving -18 + -10x = -2 + -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. -18 + -10x + 2x = -2 + -2x + 2x Combine like terms: -10x + 2x = -8x -18 + -8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + -8x = -2 + 0 -18 + -8x = -2 Add '18' to each side of the equation. -18 + 18 + -8x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = -2 + 18 -8x = -2 + 18 Combine like terms: -2 + 18 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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