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Simplifying 90 = (x + -12) + 2(x + -12) Reorder the terms: 90 = (-12 + x) + 2(x + -12) Remove parenthesis around (-12 + x) 90 = -12 + x + 2(x + -12) Reorder the terms: 90 = -12 + x + 2(-12 + x) 90 = -12 + x + (-12 * 2 + x * 2) 90 = -12 + x + (-24 + 2x) Reorder the terms: 90 = -12 + -24 + x + 2x Combine like terms: -12 + -24 = -36 90 = -36 + x + 2x Combine like terms: x + 2x = 3x 90 = -36 + 3x Solving 90 = -36 + 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. 90 + -3x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 90 + -3x = -36 + 0 90 + -3x = -36 Add '-90' to each side of the equation. 90 + -90 + -3x = -36 + -90 Combine like terms: 90 + -90 = 0 0 + -3x = -36 + -90 -3x = -36 + -90 Combine like terms: -36 + -90 = -126 -3x = -126 Divide each side by '-3'. x = 42 Simplifying x = 42
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