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Simplifying 5(3x + -8) + -2 = 5(x + -4) + 38 Reorder the terms: 5(-8 + 3x) + -2 = 5(x + -4) + 38 (-8 * 5 + 3x * 5) + -2 = 5(x + -4) + 38 (-40 + 15x) + -2 = 5(x + -4) + 38 Reorder the terms: -40 + -2 + 15x = 5(x + -4) + 38 Combine like terms: -40 + -2 = -42 -42 + 15x = 5(x + -4) + 38 Reorder the terms: -42 + 15x = 5(-4 + x) + 38 -42 + 15x = (-4 * 5 + x * 5) + 38 -42 + 15x = (-20 + 5x) + 38 Reorder the terms: -42 + 15x = -20 + 38 + 5x Combine like terms: -20 + 38 = 18 -42 + 15x = 18 + 5x Solving -42 + 15x = 18 + 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. -42 + 15x + -5x = 18 + 5x + -5x Combine like terms: 15x + -5x = 10x -42 + 10x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 10x = 18 + 0 -42 + 10x = 18 Add '42' to each side of the equation. -42 + 42 + 10x = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 18 + 42 10x = 18 + 42 Combine like terms: 18 + 42 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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