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Simplifying 15(4x + 6) + -1(x + -5) = 5x + 20 Reorder the terms: 15(6 + 4x) + -1(x + -5) = 5x + 20 (6 * 15 + 4x * 15) + -1(x + -5) = 5x + 20 (90 + 60x) + -1(x + -5) = 5x + 20 Reorder the terms: 90 + 60x + -1(-5 + x) = 5x + 20 90 + 60x + (-5 * -1 + x * -1) = 5x + 20 90 + 60x + (5 + -1x) = 5x + 20 Reorder the terms: 90 + 5 + 60x + -1x = 5x + 20 Combine like terms: 90 + 5 = 95 95 + 60x + -1x = 5x + 20 Combine like terms: 60x + -1x = 59x 95 + 59x = 5x + 20 Reorder the terms: 95 + 59x = 20 + 5x Solving 95 + 59x = 20 + 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. 95 + 59x + -5x = 20 + 5x + -5x Combine like terms: 59x + -5x = 54x 95 + 54x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 95 + 54x = 20 + 0 95 + 54x = 20 Add '-95' to each side of the equation. 95 + -95 + 54x = 20 + -95 Combine like terms: 95 + -95 = 0 0 + 54x = 20 + -95 54x = 20 + -95 Combine like terms: 20 + -95 = -75 54x = -75 Divide each side by '54'. x = -1.388888889 Simplifying x = -1.388888889
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