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Simplifying 12x + 45 + -3x = 2x + -65 + x Reorder the terms: 45 + 12x + -3x = 2x + -65 + x Combine like terms: 12x + -3x = 9x 45 + 9x = 2x + -65 + x Reorder the terms: 45 + 9x = -65 + 2x + x Combine like terms: 2x + x = 3x 45 + 9x = -65 + 3x Solving 45 + 9x = -65 + 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. 45 + 9x + -3x = -65 + 3x + -3x Combine like terms: 9x + -3x = 6x 45 + 6x = -65 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 6x = -65 + 0 45 + 6x = -65 Add '-45' to each side of the equation. 45 + -45 + 6x = -65 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = -65 + -45 6x = -65 + -45 Combine like terms: -65 + -45 = -110 6x = -110 Divide each side by '6'. x = -18.33333333 Simplifying x = -18.33333333
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