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Simplifying 5x + 12 = -1x + 10 Reorder the terms: 12 + 5x = -1x + 10 Reorder the terms: 12 + 5x = 10 + -1x Solving 12 + 5x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 5x + x = 10 + -1x + x Combine like terms: 5x + x = 6x 12 + 6x = 10 + -1x + x Combine like terms: -1x + x = 0 12 + 6x = 10 + 0 12 + 6x = 10 Add '-12' to each side of the equation. 12 + -12 + 6x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 10 + -12 6x = 10 + -12 Combine like terms: 10 + -12 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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