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Simplifying 15x + 10 = 10(2x + -9) Reorder the terms: 10 + 15x = 10(2x + -9) Reorder the terms: 10 + 15x = 10(-9 + 2x) 10 + 15x = (-9 * 10 + 2x * 10) 10 + 15x = (-90 + 20x) Solving 10 + 15x = -90 + 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. 10 + 15x + -20x = -90 + 20x + -20x Combine like terms: 15x + -20x = -5x 10 + -5x = -90 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + -5x = -90 + 0 10 + -5x = -90 Add '-10' to each side of the equation. 10 + -10 + -5x = -90 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -90 + -10 -5x = -90 + -10 Combine like terms: -90 + -10 = -100 -5x = -100 Divide each side by '-5'. x = 20 Simplifying x = 20
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