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Simplifying 3x + 2x + 3x + 32 = 45 + -1x + 3x Reorder the terms: 32 + 3x + 2x + 3x = 45 + -1x + 3x Combine like terms: 3x + 2x = 5x 32 + 5x + 3x = 45 + -1x + 3x Combine like terms: 5x + 3x = 8x 32 + 8x = 45 + -1x + 3x Combine like terms: -1x + 3x = 2x 32 + 8x = 45 + 2x Solving 32 + 8x = 45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 32 + 8x + -2x = 45 + 2x + -2x Combine like terms: 8x + -2x = 6x 32 + 6x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 6x = 45 + 0 32 + 6x = 45 Add '-32' to each side of the equation. 32 + -32 + 6x = 45 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = 45 + -32 6x = 45 + -32 Combine like terms: 45 + -32 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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