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Simplifying -1(x + 6) = 18 + -5(x + -8) Reorder the terms: -1(6 + x) = 18 + -5(x + -8) (6 * -1 + x * -1) = 18 + -5(x + -8) (-6 + -1x) = 18 + -5(x + -8) Reorder the terms: -6 + -1x = 18 + -5(-8 + x) -6 + -1x = 18 + (-8 * -5 + x * -5) -6 + -1x = 18 + (40 + -5x) Combine like terms: 18 + 40 = 58 -6 + -1x = 58 + -5x Solving -6 + -1x = 58 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -1x + 5x = 58 + -5x + 5x Combine like terms: -1x + 5x = 4x -6 + 4x = 58 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 4x = 58 + 0 -6 + 4x = 58 Add '6' to each side of the equation. -6 + 6 + 4x = 58 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 58 + 6 4x = 58 + 6 Combine like terms: 58 + 6 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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