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Simplifying 3x + -5x + -10 = -7 + 5x + -32 Reorder the terms: -10 + 3x + -5x = -7 + 5x + -32 Combine like terms: 3x + -5x = -2x -10 + -2x = -7 + 5x + -32 Reorder the terms: -10 + -2x = -7 + -32 + 5x Combine like terms: -7 + -32 = -39 -10 + -2x = -39 + 5x Solving -10 + -2x = -39 + 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 = -39 + 5x + -5x Combine like terms: -2x + -5x = -7x -10 + -7x = -39 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -7x = -39 + 0 -10 + -7x = -39 Add '10' to each side of the equation. -10 + 10 + -7x = -39 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -39 + 10 -7x = -39 + 10 Combine like terms: -39 + 10 = -29 -7x = -29 Divide each side by '-7'. x = 4.142857143 Simplifying x = 4.142857143
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