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Simplifying 15(x + 8) = 35x Reorder the terms: 15(8 + x) = 35x (8 * 15 + x * 15) = 35x (120 + 15x) = 35x Solving 120 + 15x = 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 120 + 15x + -35x = 35x + -35x Combine like terms: 15x + -35x = -20x 120 + -20x = 35x + -35x Combine like terms: 35x + -35x = 0 120 + -20x = 0 Add '-120' to each side of the equation. 120 + -120 + -20x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -20x = 0 + -120 -20x = 0 + -120 Combine like terms: 0 + -120 = -120 -20x = -120 Divide each side by '-20'. x = 6 Simplifying x = 6
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