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Simplifying -3x + 32 + -7x = 2(5x + 10) Reorder the terms: 32 + -3x + -7x = 2(5x + 10) Combine like terms: -3x + -7x = -10x 32 + -10x = 2(5x + 10) Reorder the terms: 32 + -10x = 2(10 + 5x) 32 + -10x = (10 * 2 + 5x * 2) 32 + -10x = (20 + 10x) Solving 32 + -10x = 20 + 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. 32 + -10x + -10x = 20 + 10x + -10x Combine like terms: -10x + -10x = -20x 32 + -20x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -20x = 20 + 0 32 + -20x = 20 Add '-32' to each side of the equation. 32 + -32 + -20x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -20x = 20 + -32 -20x = 20 + -32 Combine like terms: 20 + -32 = -12 -20x = -12 Divide each side by '-20'. x = 0.6 Simplifying x = 0.6
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