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Simplifying 15(x + -2) = 10(x + 1) + -15 Reorder the terms: 15(-2 + x) = 10(x + 1) + -15 (-2 * 15 + x * 15) = 10(x + 1) + -15 (-30 + 15x) = 10(x + 1) + -15 Reorder the terms: -30 + 15x = 10(1 + x) + -15 -30 + 15x = (1 * 10 + x * 10) + -15 -30 + 15x = (10 + 10x) + -15 Reorder the terms: -30 + 15x = 10 + -15 + 10x Combine like terms: 10 + -15 = -5 -30 + 15x = -5 + 10x Solving -30 + 15x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -30 + 15x + -10x = -5 + 10x + -10x Combine like terms: 15x + -10x = 5x -30 + 5x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -30 + 5x = -5 + 0 -30 + 5x = -5 Add '30' to each side of the equation. -30 + 30 + 5x = -5 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -5 + 30 5x = -5 + 30 Combine like terms: -5 + 30 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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