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