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Simplifying 32 + x = 46 + -12x Solving 32 + x = 46 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 32 + x + 12x = 46 + -12x + 12x Combine like terms: x + 12x = 13x 32 + 13x = 46 + -12x + 12x Combine like terms: -12x + 12x = 0 32 + 13x = 46 + 0 32 + 13x = 46 Add '-32' to each side of the equation. 32 + -32 + 13x = 46 + -32 Combine like terms: 32 + -32 = 0 0 + 13x = 46 + -32 13x = 46 + -32 Combine like terms: 46 + -32 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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