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Simplifying 3(x + 12) + -2x = 3(x + -2) Reorder the terms: 3(12 + x) + -2x = 3(x + -2) (12 * 3 + x * 3) + -2x = 3(x + -2) (36 + 3x) + -2x = 3(x + -2) Combine like terms: 3x + -2x = 1x 36 + 1x = 3(x + -2) Reorder the terms: 36 + 1x = 3(-2 + x) 36 + 1x = (-2 * 3 + x * 3) 36 + 1x = (-6 + 3x) Solving 36 + 1x = -6 + 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. 36 + 1x + -3x = -6 + 3x + -3x Combine like terms: 1x + -3x = -2x 36 + -2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + -2x = -6 + 0 36 + -2x = -6 Add '-36' to each side of the equation. 36 + -36 + -2x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -6 + -36 -2x = -6 + -36 Combine like terms: -6 + -36 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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