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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 = -1x 7 + -1x = -13 + -13x + 13x Combine like terms: -13x + 13x = 0 7 + -1x = -13 + 0 7 + -1x = -13 Add '-7' to each side of the equation. 7 + -7 + -1x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -13 + -7 -1x = -13 + -7 Combine like terms: -13 + -7 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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