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Simplifying 2x + 3x + -15 = 5(2x + 6) Reorder the terms: -15 + 2x + 3x = 5(2x + 6) Combine like terms: 2x + 3x = 5x -15 + 5x = 5(2x + 6) Reorder the terms: -15 + 5x = 5(6 + 2x) -15 + 5x = (6 * 5 + 2x * 5) -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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