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Simplifying 15(2x + 1) = 5x + -10 Reorder the terms: 15(1 + 2x) = 5x + -10 (1 * 15 + 2x * 15) = 5x + -10 (15 + 30x) = 5x + -10 Reorder the terms: 15 + 30x = -10 + 5x Solving 15 + 30x = -10 + 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. 15 + 30x + -5x = -10 + 5x + -5x Combine like terms: 30x + -5x = 25x 15 + 25x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 25x = -10 + 0 15 + 25x = -10 Add '-15' to each side of the equation. 15 + -15 + 25x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 25x = -10 + -15 25x = -10 + -15 Combine like terms: -10 + -15 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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