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Simplifying 12x + 10 = 14x + 54 Reorder the terms: 10 + 12x = 14x + 54 Reorder the terms: 10 + 12x = 54 + 14x Solving 10 + 12x = 54 + 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 = 54 + 14x + -14x Combine like terms: 12x + -14x = -2x 10 + -2x = 54 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + -2x = 54 + 0 10 + -2x = 54 Add '-10' to each side of the equation. 10 + -10 + -2x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 54 + -10 -2x = 54 + -10 Combine like terms: 54 + -10 = 44 -2x = 44 Divide each side by '-2'. x = -22 Simplifying x = -22
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