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Simplifying 12 + -10x = 78 + -24x Solving 12 + -10x = 78 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 12 + -10x + 24x = 78 + -24x + 24x Combine like terms: -10x + 24x = 14x 12 + 14x = 78 + -24x + 24x Combine like terms: -24x + 24x = 0 12 + 14x = 78 + 0 12 + 14x = 78 Add '-12' to each side of the equation. 12 + -12 + 14x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 78 + -12 14x = 78 + -12 Combine like terms: 78 + -12 = 66 14x = 66 Divide each side by '14'. x = 4.714285714 Simplifying x = 4.714285714
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