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Simplifying 3(x + 4) = (x + -6) + 32 Reorder the terms: 3(4 + x) = (x + -6) + 32 (4 * 3 + x * 3) = (x + -6) + 32 (12 + 3x) = (x + -6) + 32 Reorder the terms: 12 + 3x = (-6 + x) + 32 Remove parenthesis around (-6 + x) 12 + 3x = -6 + x + 32 Reorder the terms: 12 + 3x = -6 + 32 + x Combine like terms: -6 + 32 = 26 12 + 3x = 26 + x Solving 12 + 3x = 26 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 3x + -1x = 26 + x + -1x Combine like terms: 3x + -1x = 2x 12 + 2x = 26 + x + -1x Combine like terms: x + -1x = 0 12 + 2x = 26 + 0 12 + 2x = 26 Add '-12' to each side of the equation. 12 + -12 + 2x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 26 + -12 2x = 26 + -12 Combine like terms: 26 + -12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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