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