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Simplifying -4x + 10 = 7x + 32 Reorder the terms: 10 + -4x = 7x + 32 Reorder the terms: 10 + -4x = 32 + 7x Solving 10 + -4x = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -4x + -7x = 32 + 7x + -7x Combine like terms: -4x + -7x = -11x 10 + -11x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -11x = 32 + 0 10 + -11x = 32 Add '-10' to each side of the equation. 10 + -10 + -11x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 32 + -10 -11x = 32 + -10 Combine like terms: 32 + -10 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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