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Simplifying 3x + 45 = x + 8 + -32 Reorder the terms: 45 + 3x = x + 8 + -32 Reorder the terms: 45 + 3x = 8 + -32 + x Combine like terms: 8 + -32 = -24 45 + 3x = -24 + x Solving 45 + 3x = -24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + 3x + -1x = -24 + x + -1x Combine like terms: 3x + -1x = 2x 45 + 2x = -24 + x + -1x Combine like terms: x + -1x = 0 45 + 2x = -24 + 0 45 + 2x = -24 Add '-45' to each side of the equation. 45 + -45 + 2x = -24 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = -24 + -45 2x = -24 + -45 Combine like terms: -24 + -45 = -69 2x = -69 Divide each side by '2'. x = -34.5 Simplifying x = -34.5
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