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Simplifying 5(3 + 4x) = -13(1 + -1x) (3 * 5 + 4x * 5) = -13(1 + -1x) (15 + 20x) = -13(1 + -1x) 15 + 20x = (1 * -13 + -1x * -13) 15 + 20x = (-13 + 13x) Solving 15 + 20x = -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. 15 + 20x + -13x = -13 + 13x + -13x Combine like terms: 20x + -13x = 7x 15 + 7x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 15 + 7x = -13 + 0 15 + 7x = -13 Add '-15' to each side of the equation. 15 + -15 + 7x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = -13 + -15 7x = -13 + -15 Combine like terms: -13 + -15 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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