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Simplifying 5(2X + -8) + -2 = 5(X + -2) + 3 Reorder the terms: 5(-8 + 2X) + -2 = 5(X + -2) + 3 (-8 * 5 + 2X * 5) + -2 = 5(X + -2) + 3 (-40 + 10X) + -2 = 5(X + -2) + 3 Reorder the terms: -40 + -2 + 10X = 5(X + -2) + 3 Combine like terms: -40 + -2 = -42 -42 + 10X = 5(X + -2) + 3 Reorder the terms: -42 + 10X = 5(-2 + X) + 3 -42 + 10X = (-2 * 5 + X * 5) + 3 -42 + 10X = (-10 + 5X) + 3 Reorder the terms: -42 + 10X = -10 + 3 + 5X Combine like terms: -10 + 3 = -7 -42 + 10X = -7 + 5X Solving -42 + 10X = -7 + 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 = -7 + 5X + -5X Combine like terms: 10X + -5X = 5X -42 + 5X = -7 + 5X + -5X Combine like terms: 5X + -5X = 0 -42 + 5X = -7 + 0 -42 + 5X = -7 Add '42' to each side of the equation. -42 + 42 + 5X = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 5X = -7 + 42 5X = -7 + 42 Combine like terms: -7 + 42 = 35 5X = 35 Divide each side by '5'. X = 7 Simplifying X = 7
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