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Simplifying 7(-5 + 8x) = 5(x + -7) + x (-5 * 7 + 8x * 7) = 5(x + -7) + x (-35 + 56x) = 5(x + -7) + x Reorder the terms: -35 + 56x = 5(-7 + x) + x -35 + 56x = (-7 * 5 + x * 5) + x -35 + 56x = (-35 + 5x) + x Combine like terms: 5x + x = 6x -35 + 56x = -35 + 6x Add '35' to each side of the equation. -35 + 35 + 56x = -35 + 35 + 6x Combine like terms: -35 + 35 = 0 0 + 56x = -35 + 35 + 6x 56x = -35 + 35 + 6x Combine like terms: -35 + 35 = 0 56x = 0 + 6x 56x = 6x Solving 56x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 56x + -6x = 6x + -6x Combine like terms: 56x + -6x = 50x 50x = 6x + -6x Combine like terms: 6x + -6x = 0 50x = 0 Divide each side by '50'. x = 0.0 Simplifying x = 0.0
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