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Simplifying 12x + 5 + -3x = 3x + -5 Reorder the terms: 5 + 12x + -3x = 3x + -5 Combine like terms: 12x + -3x = 9x 5 + 9x = 3x + -5 Reorder the terms: 5 + 9x = -5 + 3x Solving 5 + 9x = -5 + 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. 5 + 9x + -3x = -5 + 3x + -3x Combine like terms: 9x + -3x = 6x 5 + 6x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 6x = -5 + 0 5 + 6x = -5 Add '-5' to each side of the equation. 5 + -5 + 6x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -5 + -5 6x = -5 + -5 Combine like terms: -5 + -5 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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