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Simplifying 78 = 5x + -2(5x + -9) Reorder the terms: 78 = 5x + -2(-9 + 5x) 78 = 5x + (-9 * -2 + 5x * -2) 78 = 5x + (18 + -10x) Reorder the terms: 78 = 18 + 5x + -10x Combine like terms: 5x + -10x = -5x 78 = 18 + -5x Solving 78 = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 78 + 5x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 78 + 5x = 18 + 0 78 + 5x = 18 Add '-78' to each side of the equation. 78 + -78 + 5x = 18 + -78 Combine like terms: 78 + -78 = 0 0 + 5x = 18 + -78 5x = 18 + -78 Combine like terms: 18 + -78 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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