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Simplifying 12x + 10 = 14x + -4 Reorder the terms: 10 + 12x = 14x + -4 Reorder the terms: 10 + 12x = -4 + 14x Solving 10 + 12x = -4 + 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. 10 + 12x + -14x = -4 + 14x + -14x Combine like terms: 12x + -14x = -2x 10 + -2x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + -2x = -4 + 0 10 + -2x = -4 Add '-10' to each side of the equation. 10 + -10 + -2x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -4 + -10 -2x = -4 + -10 Combine like terms: -4 + -10 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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