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Simplifying 5(4x + 1) = 5x + -7 Reorder the terms: 5(1 + 4x) = 5x + -7 (1 * 5 + 4x * 5) = 5x + -7 (5 + 20x) = 5x + -7 Reorder the terms: 5 + 20x = -7 + 5x Solving 5 + 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. 5 + 20x + -5x = -7 + 5x + -5x Combine like terms: 20x + -5x = 15x 5 + 15x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 15x = -7 + 0 5 + 15x = -7 Add '-5' to each side of the equation. 5 + -5 + 15x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = -7 + -5 15x = -7 + -5 Combine like terms: -7 + -5 = -12 15x = -12 Divide each side by '15'. x = -0.8 Simplifying x = -0.8
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