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Simplifying 9(x + -2) = -12(2x + -4) Reorder the terms: 9(-2 + x) = -12(2x + -4) (-2 * 9 + x * 9) = -12(2x + -4) (-18 + 9x) = -12(2x + -4) Reorder the terms: -18 + 9x = -12(-4 + 2x) -18 + 9x = (-4 * -12 + 2x * -12) -18 + 9x = (48 + -24x) Solving -18 + 9x = 48 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -18 + 9x + 24x = 48 + -24x + 24x Combine like terms: 9x + 24x = 33x -18 + 33x = 48 + -24x + 24x Combine like terms: -24x + 24x = 0 -18 + 33x = 48 + 0 -18 + 33x = 48 Add '18' to each side of the equation. -18 + 18 + 33x = 48 + 18 Combine like terms: -18 + 18 = 0 0 + 33x = 48 + 18 33x = 48 + 18 Combine like terms: 48 + 18 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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