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Simplifying 5(3 + -1x) = 2(2x + 1) + 31 (3 * 5 + -1x * 5) = 2(2x + 1) + 31 (15 + -5x) = 2(2x + 1) + 31 Reorder the terms: 15 + -5x = 2(1 + 2x) + 31 15 + -5x = (1 * 2 + 2x * 2) + 31 15 + -5x = (2 + 4x) + 31 Reorder the terms: 15 + -5x = 2 + 31 + 4x Combine like terms: 2 + 31 = 33 15 + -5x = 33 + 4x Solving 15 + -5x = 33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -5x + -4x = 33 + 4x + -4x Combine like terms: -5x + -4x = -9x 15 + -9x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -9x = 33 + 0 15 + -9x = 33 Add '-15' to each side of the equation. 15 + -15 + -9x = 33 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 33 + -15 -9x = 33 + -15 Combine like terms: 33 + -15 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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