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Simplifying 7(1 + 2x) + 3x = -29 + 5x (1 * 7 + 2x * 7) + 3x = -29 + 5x (7 + 14x) + 3x = -29 + 5x Combine like terms: 14x + 3x = 17x 7 + 17x = -29 + 5x Solving 7 + 17x = -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. 7 + 17x + -5x = -29 + 5x + -5x Combine like terms: 17x + -5x = 12x 7 + 12x = -29 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 12x = -29 + 0 7 + 12x = -29 Add '-7' to each side of the equation. 7 + -7 + 12x = -29 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -29 + -7 12x = -29 + -7 Combine like terms: -29 + -7 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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