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Simplifying 3(x + 1) = -1x + 31 Reorder the terms: 3(1 + x) = -1x + 31 (1 * 3 + x * 3) = -1x + 31 (3 + 3x) = -1x + 31 Reorder the terms: 3 + 3x = 31 + -1x Solving 3 + 3x = 31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 3x + x = 31 + -1x + x Combine like terms: 3x + x = 4x 3 + 4x = 31 + -1x + x Combine like terms: -1x + x = 0 3 + 4x = 31 + 0 3 + 4x = 31 Add '-3' to each side of the equation. 3 + -3 + 4x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 31 + -3 4x = 31 + -3 Combine like terms: 31 + -3 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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