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Simplifying 5(3x + -8) + -6 = 5(x + -3) + 29 Reorder the terms: 5(-8 + 3x) + -6 = 5(x + -3) + 29 (-8 * 5 + 3x * 5) + -6 = 5(x + -3) + 29 (-40 + 15x) + -6 = 5(x + -3) + 29 Reorder the terms: -40 + -6 + 15x = 5(x + -3) + 29 Combine like terms: -40 + -6 = -46 -46 + 15x = 5(x + -3) + 29 Reorder the terms: -46 + 15x = 5(-3 + x) + 29 -46 + 15x = (-3 * 5 + x * 5) + 29 -46 + 15x = (-15 + 5x) + 29 Reorder the terms: -46 + 15x = -15 + 29 + 5x Combine like terms: -15 + 29 = 14 -46 + 15x = 14 + 5x Solving -46 + 15x = 14 + 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 + 15x + -5x = 14 + 5x + -5x Combine like terms: 15x + -5x = 10x -46 + 10x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -46 + 10x = 14 + 0 -46 + 10x = 14 Add '46' to each side of the equation. -46 + 46 + 10x = 14 + 46 Combine like terms: -46 + 46 = 0 0 + 10x = 14 + 46 10x = 14 + 46 Combine like terms: 14 + 46 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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