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Simplifying 5(4 + x) = 5(4x + -1) + -65 (4 * 5 + x * 5) = 5(4x + -1) + -65 (20 + 5x) = 5(4x + -1) + -65 Reorder the terms: 20 + 5x = 5(-1 + 4x) + -65 20 + 5x = (-1 * 5 + 4x * 5) + -65 20 + 5x = (-5 + 20x) + -65 Reorder the terms: 20 + 5x = -5 + -65 + 20x Combine like terms: -5 + -65 = -70 20 + 5x = -70 + 20x Solving 20 + 5x = -70 + 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. 20 + 5x + -20x = -70 + 20x + -20x Combine like terms: 5x + -20x = -15x 20 + -15x = -70 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -15x = -70 + 0 20 + -15x = -70 Add '-20' to each side of the equation. 20 + -20 + -15x = -70 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = -70 + -20 -15x = -70 + -20 Combine like terms: -70 + -20 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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