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Simplifying 32 + -8x = 3x + -45 Reorder the terms: 32 + -8x = -45 + 3x Solving 32 + -8x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + -8x + -3x = -45 + 3x + -3x Combine like terms: -8x + -3x = -11x 32 + -11x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + -11x = -45 + 0 32 + -11x = -45 Add '-32' to each side of the equation. 32 + -32 + -11x = -45 + -32 Combine like terms: 32 + -32 = 0 0 + -11x = -45 + -32 -11x = -45 + -32 Combine like terms: -45 + -32 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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