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Simplifying 9(x + 2) = 3(x + -4) Reorder the terms: 9(2 + x) = 3(x + -4) (2 * 9 + x * 9) = 3(x + -4) (18 + 9x) = 3(x + -4) Reorder the terms: 18 + 9x = 3(-4 + x) 18 + 9x = (-4 * 3 + x * 3) 18 + 9x = (-12 + 3x) Solving 18 + 9x = -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. 18 + 9x + -3x = -12 + 3x + -3x Combine like terms: 9x + -3x = 6x 18 + 6x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x = -12 + 0 18 + 6x = -12 Add '-18' to each side of the equation. 18 + -18 + 6x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -12 + -18 6x = -12 + -18 Combine like terms: -12 + -18 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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