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Simplifying 10x + 12 = -12 + 14x Reorder the terms: 12 + 10x = -12 + 14x Solving 12 + 10x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 10x + -14x = -12 + 14x + -14x Combine like terms: 10x + -14x = -4x 12 + -4x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -4x = -12 + 0 12 + -4x = -12 Add '-12' to each side of the equation. 12 + -12 + -4x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -12 + -12 -4x = -12 + -12 Combine like terms: -12 + -12 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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