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Simplifying -7x + 7x = 5(8 + 6x) + -5(5x + 7) Combine like terms: -7x + 7x = 0 0 = 5(8 + 6x) + -5(5x + 7) 0 = (8 * 5 + 6x * 5) + -5(5x + 7) 0 = (40 + 30x) + -5(5x + 7) Reorder the terms: 0 = 40 + 30x + -5(7 + 5x) 0 = 40 + 30x + (7 * -5 + 5x * -5) 0 = 40 + 30x + (-35 + -25x) Reorder the terms: 0 = 40 + -35 + 30x + -25x Combine like terms: 40 + -35 = 5 0 = 5 + 30x + -25x Combine like terms: 30x + -25x = 5x 0 = 5 + 5x Solving 0 = 5 + 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. 0 + -5x = 5 + 5x + -5x Remove the zero: -5x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -5x = 5 + 0 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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