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Simplifying -8(x + -3) + 6 = -1(x + 5) Reorder the terms: -8(-3 + x) + 6 = -1(x + 5) (-3 * -8 + x * -8) + 6 = -1(x + 5) (24 + -8x) + 6 = -1(x + 5) Reorder the terms: 24 + 6 + -8x = -1(x + 5) Combine like terms: 24 + 6 = 30 30 + -8x = -1(x + 5) Reorder the terms: 30 + -8x = -1(5 + x) 30 + -8x = (5 * -1 + x * -1) 30 + -8x = (-5 + -1x) Solving 30 + -8x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + -8x + x = -5 + -1x + x Combine like terms: -8x + x = -7x 30 + -7x = -5 + -1x + x Combine like terms: -1x + x = 0 30 + -7x = -5 + 0 30 + -7x = -5 Add '-30' to each side of the equation. 30 + -30 + -7x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = -5 + -30 -7x = -5 + -30 Combine like terms: -5 + -30 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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