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Simplifying 5(4x + -8) + -6 = 5(x + -4) + 79 Reorder the terms: 5(-8 + 4x) + -6 = 5(x + -4) + 79 (-8 * 5 + 4x * 5) + -6 = 5(x + -4) + 79 (-40 + 20x) + -6 = 5(x + -4) + 79 Reorder the terms: -40 + -6 + 20x = 5(x + -4) + 79 Combine like terms: -40 + -6 = -46 -46 + 20x = 5(x + -4) + 79 Reorder the terms: -46 + 20x = 5(-4 + x) + 79 -46 + 20x = (-4 * 5 + x * 5) + 79 -46 + 20x = (-20 + 5x) + 79 Reorder the terms: -46 + 20x = -20 + 79 + 5x Combine like terms: -20 + 79 = 59 -46 + 20x = 59 + 5x Solving -46 + 20x = 59 + 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 + 20x + -5x = 59 + 5x + -5x Combine like terms: 20x + -5x = 15x -46 + 15x = 59 + 5x + -5x Combine like terms: 5x + -5x = 0 -46 + 15x = 59 + 0 -46 + 15x = 59 Add '46' to each side of the equation. -46 + 46 + 15x = 59 + 46 Combine like terms: -46 + 46 = 0 0 + 15x = 59 + 46 15x = 59 + 46 Combine like terms: 59 + 46 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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