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Simplifying 7(x + 1) + 13x = -33 Reorder the terms: 7(1 + x) + 13x = -33 (1 * 7 + x * 7) + 13x = -33 (7 + 7x) + 13x = -33 Combine like terms: 7x + 13x = 20x 7 + 20x = -33 Solving 7 + 20x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 20x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 20x = -33 + -7 20x = -33 + -7 Combine like terms: -33 + -7 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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