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Simplifying 7(-2x + 1) = 13x + 1 Reorder the terms: 7(1 + -2x) = 13x + 1 (1 * 7 + -2x * 7) = 13x + 1 (7 + -14x) = 13x + 1 Reorder the terms: 7 + -14x = 1 + 13x Solving 7 + -14x = 1 + 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 = 1 + 13x + -13x Combine like terms: -14x + -13x = -27x 7 + -27x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 7 + -27x = 1 + 0 7 + -27x = 1 Add '-7' to each side of the equation. 7 + -7 + -27x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -27x = 1 + -7 -27x = 1 + -7 Combine like terms: 1 + -7 = -6 -27x = -6 Divide each side by '-27'. x = 0.2222222222 Simplifying x = 0.2222222222
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