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Simplifying 7(-2x + 1) = 13(x + 1) Reorder the terms: 7(1 + -2x) = 13(x + 1) (1 * 7 + -2x * 7) = 13(x + 1) (7 + -14x) = 13(x + 1) Reorder the terms: 7 + -14x = 13(1 + x) 7 + -14x = (1 * 13 + x * 13) 7 + -14x = (13 + 13x) Solving 7 + -14x = 13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 7 + -14x + -13x = 13 + 13x + -13x Combine like terms: -14x + -13x = -27x 7 + -27x = 13 + 13x + -13x Combine like terms: 13x + -13x = 0 7 + -27x = 13 + 0 7 + -27x = 13 Add '-7' to each side of the equation. 7 + -7 + -27x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -27x = 13 + -7 -27x = 13 + -7 Combine like terms: 13 + -7 = 6 -27x = 6 Divide each side by '-27'. x = -0.2222222222 Simplifying x = -0.2222222222
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