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Simplifying 7(-5 + -1x) = 8(-1x + 13) (-5 * 7 + -1x * 7) = 8(-1x + 13) (-35 + -7x) = 8(-1x + 13) Reorder the terms: -35 + -7x = 8(13 + -1x) -35 + -7x = (13 * 8 + -1x * 8) -35 + -7x = (104 + -8x) Solving -35 + -7x = 104 + -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. -35 + -7x + 8x = 104 + -8x + 8x Combine like terms: -7x + 8x = 1x -35 + 1x = 104 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + 1x = 104 + 0 -35 + 1x = 104 Add '35' to each side of the equation. -35 + 35 + 1x = 104 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 104 + 35 1x = 104 + 35 Combine like terms: 104 + 35 = 139 1x = 139 Divide each side by '1'. x = 139 Simplifying x = 139
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