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Simplifying 3(x + 1) + -1x = 2(9 + -1x) Reorder the terms: 3(1 + x) + -1x = 2(9 + -1x) (1 * 3 + x * 3) + -1x = 2(9 + -1x) (3 + 3x) + -1x = 2(9 + -1x) Combine like terms: 3x + -1x = 2x 3 + 2x = 2(9 + -1x) 3 + 2x = (9 * 2 + -1x * 2) 3 + 2x = (18 + -2x) Solving 3 + 2x = 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. 3 + 2x + 2x = 18 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = 18 + 0 3 + 4x = 18 Add '-3' to each side of the equation. 3 + -3 + 4x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 18 + -3 4x = 18 + -3 Combine like terms: 18 + -3 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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