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Simplifying 3(x + 4) = 3(x + -2) + 2x Reorder the terms: 3(4 + x) = 3(x + -2) + 2x (4 * 3 + x * 3) = 3(x + -2) + 2x (12 + 3x) = 3(x + -2) + 2x Reorder the terms: 12 + 3x = 3(-2 + x) + 2x 12 + 3x = (-2 * 3 + x * 3) + 2x 12 + 3x = (-6 + 3x) + 2x Combine like terms: 3x + 2x = 5x 12 + 3x = -6 + 5x Solving 12 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = -6 + 0 12 + -2x = -6 Add '-12' to each side of the equation. 12 + -12 + -2x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -6 + -12 -2x = -6 + -12 Combine like terms: -6 + -12 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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