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Simplifying 42 = 2(x + 3) + (x + -12) Reorder the terms: 42 = 2(3 + x) + (x + -12) 42 = (3 * 2 + x * 2) + (x + -12) 42 = (6 + 2x) + (x + -12) Reorder the terms: 42 = 6 + 2x + (-12 + x) Remove parenthesis around (-12 + x) 42 = 6 + 2x + -12 + x Reorder the terms: 42 = 6 + -12 + 2x + x Combine like terms: 6 + -12 = -6 42 = -6 + 2x + x Combine like terms: 2x + x = 3x 42 = -6 + 3x Solving 42 = -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. 42 + -3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -3x = -6 + 0 42 + -3x = -6 Add '-42' to each side of the equation. 42 + -42 + -3x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = -6 + -42 -3x = -6 + -42 Combine like terms: -6 + -42 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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