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Simplifying 3(-4x + 5) = -7x Reorder the terms: 3(5 + -4x) = -7x (5 * 3 + -4x * 3) = -7x (15 + -12x) = -7x Solving 15 + -12x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + -12x + 7x = -7x + 7x Combine like terms: -12x + 7x = -5x 15 + -5x = -7x + 7x Combine like terms: -7x + 7x = 0 15 + -5x = 0 Add '-15' to each side of the equation. 15 + -15 + -5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 0 + -15 -5x = 0 + -15 Combine like terms: 0 + -15 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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