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Simplifying 3 + -1(5x + -7) = -5(1 + 4x) Reorder the terms: 3 + -1(-7 + 5x) = -5(1 + 4x) 3 + (-7 * -1 + 5x * -1) = -5(1 + 4x) 3 + (7 + -5x) = -5(1 + 4x) Combine like terms: 3 + 7 = 10 10 + -5x = -5(1 + 4x) 10 + -5x = (1 * -5 + 4x * -5) 10 + -5x = (-5 + -20x) Solving 10 + -5x = -5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 10 + -5x + 20x = -5 + -20x + 20x Combine like terms: -5x + 20x = 15x 10 + 15x = -5 + -20x + 20x Combine like terms: -20x + 20x = 0 10 + 15x = -5 + 0 10 + 15x = -5 Add '-10' to each side of the equation. 10 + -10 + 15x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = -5 + -10 15x = -5 + -10 Combine like terms: -5 + -10 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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