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Simplifying 7(-5 + -1x) = 8(x + 13) (-5 * 7 + -1x * 7) = 8(x + 13) (-35 + -7x) = 8(x + 13) Reorder the terms: -35 + -7x = 8(13 + x) -35 + -7x = (13 * 8 + x * 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 = -15x -35 + -15x = 104 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -15x = 104 + 0 -35 + -15x = 104 Add '35' to each side of the equation. -35 + 35 + -15x = 104 + 35 Combine like terms: -35 + 35 = 0 0 + -15x = 104 + 35 -15x = 104 + 35 Combine like terms: 104 + 35 = 139 -15x = 139 Divide each side by '-15'. x = -9.266666667 Simplifying x = -9.266666667
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