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Simplifying 5(x + 2) + -2(x + 15) = 10(x + 3) Reorder the terms: 5(2 + x) + -2(x + 15) = 10(x + 3) (2 * 5 + x * 5) + -2(x + 15) = 10(x + 3) (10 + 5x) + -2(x + 15) = 10(x + 3) Reorder the terms: 10 + 5x + -2(15 + x) = 10(x + 3) 10 + 5x + (15 * -2 + x * -2) = 10(x + 3) 10 + 5x + (-30 + -2x) = 10(x + 3) Reorder the terms: 10 + -30 + 5x + -2x = 10(x + 3) Combine like terms: 10 + -30 = -20 -20 + 5x + -2x = 10(x + 3) Combine like terms: 5x + -2x = 3x -20 + 3x = 10(x + 3) Reorder the terms: -20 + 3x = 10(3 + x) -20 + 3x = (3 * 10 + x * 10) -20 + 3x = (30 + 10x) Solving -20 + 3x = 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. -20 + 3x + -10x = 30 + 10x + -10x Combine like terms: 3x + -10x = -7x -20 + -7x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + -7x = 30 + 0 -20 + -7x = 30 Add '20' to each side of the equation. -20 + 20 + -7x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = 30 + 20 -7x = 30 + 20 Combine like terms: 30 + 20 = 50 -7x = 50 Divide each side by '-7'. x = -7.142857143 Simplifying x = -7.142857143
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