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Simplifying 5(2x + -8) + -2 = (x + -3) + 3 Reorder the terms: 5(-8 + 2x) + -2 = (x + -3) + 3 (-8 * 5 + 2x * 5) + -2 = (x + -3) + 3 (-40 + 10x) + -2 = (x + -3) + 3 Reorder the terms: -40 + -2 + 10x = (x + -3) + 3 Combine like terms: -40 + -2 = -42 -42 + 10x = (x + -3) + 3 Reorder the terms: -42 + 10x = (-3 + x) + 3 Remove parenthesis around (-3 + x) -42 + 10x = -3 + x + 3 Reorder the terms: -42 + 10x = -3 + 3 + x Combine like terms: -3 + 3 = 0 -42 + 10x = 0 + x -42 + 10x = x Solving -42 + 10x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + 10x + -1x = x + -1x Combine like terms: 10x + -1x = 9x -42 + 9x = x + -1x Combine like terms: x + -1x = 0 -42 + 9x = 0 Add '42' to each side of the equation. -42 + 42 + 9x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 0 + 42 9x = 0 + 42 Combine like terms: 0 + 42 = 42 9x = 42 Divide each side by '9'. x = 4.666666667 Simplifying x = 4.666666667
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