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Simplifying 2x + 3(x + 5) = 10x + -30 Reorder the terms: 2x + 3(5 + x) = 10x + -30 2x + (5 * 3 + x * 3) = 10x + -30 2x + (15 + 3x) = 10x + -30 Reorder the terms: 15 + 2x + 3x = 10x + -30 Combine like terms: 2x + 3x = 5x 15 + 5x = 10x + -30 Reorder the terms: 15 + 5x = -30 + 10x Solving 15 + 5x = -30 + 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. 15 + 5x + -10x = -30 + 10x + -10x Combine like terms: 5x + -10x = -5x 15 + -5x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -5x = -30 + 0 15 + -5x = -30 Add '-15' to each side of the equation. 15 + -15 + -5x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -30 + -15 -5x = -30 + -15 Combine like terms: -30 + -15 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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