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Simplifying 3(x + 1) + -1x = 4x + 9 Reorder the terms: 3(1 + x) + -1x = 4x + 9 (1 * 3 + x * 3) + -1x = 4x + 9 (3 + 3x) + -1x = 4x + 9 Combine like terms: 3x + -1x = 2x 3 + 2x = 4x + 9 Reorder the terms: 3 + 2x = 9 + 4x Solving 3 + 2x = 9 + 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. 3 + 2x + -4x = 9 + 4x + -4x Combine like terms: 2x + -4x = -2x 3 + -2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -2x = 9 + 0 3 + -2x = 9 Add '-3' to each side of the equation. 3 + -3 + -2x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 9 + -3 -2x = 9 + -3 Combine like terms: 9 + -3 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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