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Simplifying 2(x + 1) + -1(x + 1) = 3x + -30 Reorder the terms: 2(1 + x) + -1(x + 1) = 3x + -30 (1 * 2 + x * 2) + -1(x + 1) = 3x + -30 (2 + 2x) + -1(x + 1) = 3x + -30 Reorder the terms: 2 + 2x + -1(1 + x) = 3x + -30 2 + 2x + (1 * -1 + x * -1) = 3x + -30 2 + 2x + (-1 + -1x) = 3x + -30 Reorder the terms: 2 + -1 + 2x + -1x = 3x + -30 Combine like terms: 2 + -1 = 1 1 + 2x + -1x = 3x + -30 Combine like terms: 2x + -1x = 1x 1 + 1x = 3x + -30 Reorder the terms: 1 + 1x = -30 + 3x Solving 1 + 1x = -30 + 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. 1 + 1x + -3x = -30 + 3x + -3x Combine like terms: 1x + -3x = -2x 1 + -2x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -2x = -30 + 0 1 + -2x = -30 Add '-1' to each side of the equation. 1 + -1 + -2x = -30 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -30 + -1 -2x = -30 + -1 Combine like terms: -30 + -1 = -31 -2x = -31 Divide each side by '-2'. x = 15.5 Simplifying x = 15.5
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