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Simplifying 3(x + 1) = -5x + -29 Reorder the terms: 3(1 + x) = -5x + -29 (1 * 3 + x * 3) = -5x + -29 (3 + 3x) = -5x + -29 Reorder the terms: 3 + 3x = -29 + -5x Solving 3 + 3x = -29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 3x + 5x = -29 + -5x + 5x Combine like terms: 3x + 5x = 8x 3 + 8x = -29 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 8x = -29 + 0 3 + 8x = -29 Add '-3' to each side of the equation. 3 + -3 + 8x = -29 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -29 + -3 8x = -29 + -3 Combine like terms: -29 + -3 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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