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