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