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Simplifying 5(4x + 15) + -10 = 15(x + 2) Reorder the terms: 5(15 + 4x) + -10 = 15(x + 2) (15 * 5 + 4x * 5) + -10 = 15(x + 2) (75 + 20x) + -10 = 15(x + 2) Reorder the terms: 75 + -10 + 20x = 15(x + 2) Combine like terms: 75 + -10 = 65 65 + 20x = 15(x + 2) Reorder the terms: 65 + 20x = 15(2 + x) 65 + 20x = (2 * 15 + x * 15) 65 + 20x = (30 + 15x) Solving 65 + 20x = 30 + 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. 65 + 20x + -15x = 30 + 15x + -15x Combine like terms: 20x + -15x = 5x 65 + 5x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 65 + 5x = 30 + 0 65 + 5x = 30 Add '-65' to each side of the equation. 65 + -65 + 5x = 30 + -65 Combine like terms: 65 + -65 = 0 0 + 5x = 30 + -65 5x = 30 + -65 Combine like terms: 30 + -65 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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