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Simplifying 5(2x + -8) + -6 = 5(x + -4) + 9 Reorder the terms: 5(-8 + 2x) + -6 = 5(x + -4) + 9 (-8 * 5 + 2x * 5) + -6 = 5(x + -4) + 9 (-40 + 10x) + -6 = 5(x + -4) + 9 Reorder the terms: -40 + -6 + 10x = 5(x + -4) + 9 Combine like terms: -40 + -6 = -46 -46 + 10x = 5(x + -4) + 9 Reorder the terms: -46 + 10x = 5(-4 + x) + 9 -46 + 10x = (-4 * 5 + x * 5) + 9 -46 + 10x = (-20 + 5x) + 9 Reorder the terms: -46 + 10x = -20 + 9 + 5x Combine like terms: -20 + 9 = -11 -46 + 10x = -11 + 5x Solving -46 + 10x = -11 + 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. -46 + 10x + -5x = -11 + 5x + -5x Combine like terms: 10x + -5x = 5x -46 + 5x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -46 + 5x = -11 + 0 -46 + 5x = -11 Add '46' to each side of the equation. -46 + 46 + 5x = -11 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = -11 + 46 5x = -11 + 46 Combine like terms: -11 + 46 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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