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Simplifying 3(5x + 15) = 240 + -1(x + 3) Reorder the terms: 3(15 + 5x) = 240 + -1(x + 3) (15 * 3 + 5x * 3) = 240 + -1(x + 3) (45 + 15x) = 240 + -1(x + 3) Reorder the terms: 45 + 15x = 240 + -1(3 + x) 45 + 15x = 240 + (3 * -1 + x * -1) 45 + 15x = 240 + (-3 + -1x) Combine like terms: 240 + -3 = 237 45 + 15x = 237 + -1x Solving 45 + 15x = 237 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + 15x + x = 237 + -1x + x Combine like terms: 15x + x = 16x 45 + 16x = 237 + -1x + x Combine like terms: -1x + x = 0 45 + 16x = 237 + 0 45 + 16x = 237 Add '-45' to each side of the equation. 45 + -45 + 16x = 237 + -45 Combine like terms: 45 + -45 = 0 0 + 16x = 237 + -45 16x = 237 + -45 Combine like terms: 237 + -45 = 192 16x = 192 Divide each side by '16'. x = 12 Simplifying x = 12
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