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Simplifying 5(x + -8) + -1(x + 6) = 18 Reorder the terms: 5(-8 + x) + -1(x + 6) = 18 (-8 * 5 + x * 5) + -1(x + 6) = 18 (-40 + 5x) + -1(x + 6) = 18 Reorder the terms: -40 + 5x + -1(6 + x) = 18 -40 + 5x + (6 * -1 + x * -1) = 18 -40 + 5x + (-6 + -1x) = 18 Reorder the terms: -40 + -6 + 5x + -1x = 18 Combine like terms: -40 + -6 = -46 -46 + 5x + -1x = 18 Combine like terms: 5x + -1x = 4x -46 + 4x = 18 Solving -46 + 4x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 4x = 18 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = 18 + 46 4x = 18 + 46 Combine like terms: 18 + 46 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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