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Simplifying -5(7 + 8x) + -7x = -35 + 2x (7 * -5 + 8x * -5) + -7x = -35 + 2x (-35 + -40x) + -7x = -35 + 2x Combine like terms: -40x + -7x = -47x -35 + -47x = -35 + 2x Add '35' to each side of the equation. -35 + 35 + -47x = -35 + 35 + 2x Combine like terms: -35 + 35 = 0 0 + -47x = -35 + 35 + 2x -47x = -35 + 35 + 2x Combine like terms: -35 + 35 = 0 -47x = 0 + 2x -47x = 2x Solving -47x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -47x + -2x = 2x + -2x Combine like terms: -47x + -2x = -49x -49x = 2x + -2x Combine like terms: 2x + -2x = 0 -49x = 0 Divide each side by '-49'. x = 0 Simplifying x = 0
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