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Simplifying 5(2x + -8) + -2 = (5x + -3) + 3 Reorder the terms: 5(-8 + 2x) + -2 = (5x + -3) + 3 (-8 * 5 + 2x * 5) + -2 = (5x + -3) + 3 (-40 + 10x) + -2 = (5x + -3) + 3 Reorder the terms: -40 + -2 + 10x = (5x + -3) + 3 Combine like terms: -40 + -2 = -42 -42 + 10x = (5x + -3) + 3 Reorder the terms: -42 + 10x = (-3 + 5x) + 3 Remove parenthesis around (-3 + 5x) -42 + 10x = -3 + 5x + 3 Reorder the terms: -42 + 10x = -3 + 3 + 5x Combine like terms: -3 + 3 = 0 -42 + 10x = 0 + 5x -42 + 10x = 5x Solving -42 + 10x = 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 + 10x + -5x = 5x + -5x Combine like terms: 10x + -5x = 5x -42 + 5x = 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 5x = 0 Add '42' to each side of the equation. -42 + 42 + 5x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 0 + 42 5x = 0 + 42 Combine like terms: 0 + 42 = 42 5x = 42 Divide each side by '5'. x = 8.4 Simplifying x = 8.4
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