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