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Simplifying 7(7x + -5) + -1x = -35 + -8x Reorder the terms: 7(-5 + 7x) + -1x = -35 + -8x (-5 * 7 + 7x * 7) + -1x = -35 + -8x (-35 + 49x) + -1x = -35 + -8x Combine like terms: 49x + -1x = 48x -35 + 48x = -35 + -8x Add '35' to each side of the equation. -35 + 35 + 48x = -35 + 35 + -8x Combine like terms: -35 + 35 = 0 0 + 48x = -35 + 35 + -8x 48x = -35 + 35 + -8x Combine like terms: -35 + 35 = 0 48x = 0 + -8x 48x = -8x Solving 48x = -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. 48x + 8x = -8x + 8x Combine like terms: 48x + 8x = 56x 56x = -8x + 8x Combine like terms: -8x + 8x = 0 56x = 0 Divide each side by '56'. x = 0 Simplifying x = 0
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