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Simplifying -12x + 4 = (-10x + 40) + -14x Reorder the terms: 4 + -12x = (-10x + 40) + -14x Reorder the terms: 4 + -12x = (40 + -10x) + -14x Remove parenthesis around (40 + -10x) 4 + -12x = 40 + -10x + -14x Combine like terms: -10x + -14x = -24x 4 + -12x = 40 + -24x Solving 4 + -12x = 40 + -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. 4 + -12x + 24x = 40 + -24x + 24x Combine like terms: -12x + 24x = 12x 4 + 12x = 40 + -24x + 24x Combine like terms: -24x + 24x = 0 4 + 12x = 40 + 0 4 + 12x = 40 Add '-4' to each side of the equation. 4 + -4 + 12x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 40 + -4 12x = 40 + -4 Combine like terms: 40 + -4 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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