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Simplifying 31 + -19 = 2(x + -9) Combine like terms: 31 + -19 = 12 12 = 2(x + -9) Reorder the terms: 12 = 2(-9 + x) 12 = (-9 * 2 + x * 2) 12 = (-18 + 2x) Solving 12 = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -2x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -2x = -18 + 0 12 + -2x = -18 Add '-12' to each side of the equation. 12 + -12 + -2x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -18 + -12 -2x = -18 + -12 Combine like terms: -18 + -12 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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