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Simplifying -2x + 10 = 5x + -32 Reorder the terms: 10 + -2x = 5x + -32 Reorder the terms: 10 + -2x = -32 + 5x Solving 10 + -2x = -32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -2x + -5x = -32 + 5x + -5x Combine like terms: -2x + -5x = -7x 10 + -7x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -7x = -32 + 0 10 + -7x = -32 Add '-10' to each side of the equation. 10 + -10 + -7x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -32 + -10 -7x = -32 + -10 Combine like terms: -32 + -10 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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