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Simplifying 36x + 60 = -35(x + -8) + 15 + 7x Reorder the terms: 60 + 36x = -35(x + -8) + 15 + 7x Reorder the terms: 60 + 36x = -35(-8 + x) + 15 + 7x 60 + 36x = (-8 * -35 + x * -35) + 15 + 7x 60 + 36x = (280 + -35x) + 15 + 7x Reorder the terms: 60 + 36x = 280 + 15 + -35x + 7x Combine like terms: 280 + 15 = 295 60 + 36x = 295 + -35x + 7x Combine like terms: -35x + 7x = -28x 60 + 36x = 295 + -28x Solving 60 + 36x = 295 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 60 + 36x + 28x = 295 + -28x + 28x Combine like terms: 36x + 28x = 64x 60 + 64x = 295 + -28x + 28x Combine like terms: -28x + 28x = 0 60 + 64x = 295 + 0 60 + 64x = 295 Add '-60' to each side of the equation. 60 + -60 + 64x = 295 + -60 Combine like terms: 60 + -60 = 0 0 + 64x = 295 + -60 64x = 295 + -60 Combine like terms: 295 + -60 = 235 64x = 235 Divide each side by '64'. x = 3.671875 Simplifying x = 3.671875
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