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