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Simplifying 4(5x + 2) = 5x + -7 Reorder the terms: 4(2 + 5x) = 5x + -7 (2 * 4 + 5x * 4) = 5x + -7 (8 + 20x) = 5x + -7 Reorder the terms: 8 + 20x = -7 + 5x Solving 8 + 20x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 20x + -5x = -7 + 5x + -5x Combine like terms: 20x + -5x = 15x 8 + 15x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 15x = -7 + 0 8 + 15x = -7 Add '-8' to each side of the equation. 8 + -8 + 15x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = -7 + -8 15x = -7 + -8 Combine like terms: -7 + -8 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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