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Simplifying -78 = 2x + 5(5x + 6) Reorder the terms: -78 = 2x + 5(6 + 5x) -78 = 2x + (6 * 5 + 5x * 5) -78 = 2x + (30 + 25x) Reorder the terms: -78 = 30 + 2x + 25x Combine like terms: 2x + 25x = 27x -78 = 30 + 27x Solving -78 = 30 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -78 + -27x = 30 + 27x + -27x Combine like terms: 27x + -27x = 0 -78 + -27x = 30 + 0 -78 + -27x = 30 Add '78' to each side of the equation. -78 + 78 + -27x = 30 + 78 Combine like terms: -78 + 78 = 0 0 + -27x = 30 + 78 -27x = 30 + 78 Combine like terms: 30 + 78 = 108 -27x = 108 Divide each side by '-27'. x = -4 Simplifying x = -4
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