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Simplifying 10(2 + x) = 15x + -15 + 5 (2 * 10 + x * 10) = 15x + -15 + 5 (20 + 10x) = 15x + -15 + 5 Reorder the terms: 20 + 10x = -15 + 5 + 15x Combine like terms: -15 + 5 = -10 20 + 10x = -10 + 15x Solving 20 + 10x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 10x + -15x = -10 + 15x + -15x Combine like terms: 10x + -15x = -5x 20 + -5x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -5x = -10 + 0 20 + -5x = -10 Add '-20' to each side of the equation. 20 + -20 + -5x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -10 + -20 -5x = -10 + -20 Combine like terms: -10 + -20 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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