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Simplifying 7(-6x + 5) + -5x = 35 + 8x Reorder the terms: 7(5 + -6x) + -5x = 35 + 8x (5 * 7 + -6x * 7) + -5x = 35 + 8x (35 + -42x) + -5x = 35 + 8x Combine like terms: -42x + -5x = -47x 35 + -47x = 35 + 8x Add '-35' to each side of the equation. 35 + -35 + -47x = 35 + -35 + 8x Combine like terms: 35 + -35 = 0 0 + -47x = 35 + -35 + 8x -47x = 35 + -35 + 8x Combine like terms: 35 + -35 = 0 -47x = 0 + 8x -47x = 8x Solving -47x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -47x + -8x = 8x + -8x Combine like terms: -47x + -8x = -55x -55x = 8x + -8x Combine like terms: 8x + -8x = 0 -55x = 0 Divide each side by '-55'. x = 0 Simplifying x = 0
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