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Simplifying 7 + 13(x + 1) = 3x Reorder the terms: 7 + 13(1 + x) = 3x 7 + (1 * 13 + x * 13) = 3x 7 + (13 + 13x) = 3x Combine like terms: 7 + 13 = 20 20 + 13x = 3x Solving 20 + 13x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 13x + -3x = 3x + -3x Combine like terms: 13x + -3x = 10x 20 + 10x = 3x + -3x Combine like terms: 3x + -3x = 0 20 + 10x = 0 Add '-20' to each side of the equation. 20 + -20 + 10x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 0 + -20 10x = 0 + -20 Combine like terms: 0 + -20 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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