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Simplifying 5x + 10 = 9x + -32 Reorder the terms: 10 + 5x = 9x + -32 Reorder the terms: 10 + 5x = -32 + 9x Solving 10 + 5x = -32 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 5x + -9x = -32 + 9x + -9x Combine like terms: 5x + -9x = -4x 10 + -4x = -32 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -4x = -32 + 0 10 + -4x = -32 Add '-10' to each side of the equation. 10 + -10 + -4x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -32 + -10 -4x = -32 + -10 Combine like terms: -32 + -10 = -42 -4x = -42 Divide each side by '-4'. x = 10.5 Simplifying x = 10.5
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