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Simplifying 5(2x + -8) + -2 = 5(x + -3) + 3 Reorder the terms: 5(-8 + 2x) + -2 = 5(x + -3) + 3 (-8 * 5 + 2x * 5) + -2 = 5(x + -3) + 3 (-40 + 10x) + -2 = 5(x + -3) + 3 Reorder the terms: -40 + -2 + 10x = 5(x + -3) + 3 Combine like terms: -40 + -2 = -42 -42 + 10x = 5(x + -3) + 3 Reorder the terms: -42 + 10x = 5(-3 + x) + 3 -42 + 10x = (-3 * 5 + x * 5) + 3 -42 + 10x = (-15 + 5x) + 3 Reorder the terms: -42 + 10x = -15 + 3 + 5x Combine like terms: -15 + 3 = -12 -42 + 10x = -12 + 5x Solving -42 + 10x = -12 + 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 = -12 + 5x + -5x Combine like terms: 10x + -5x = 5x -42 + 5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 5x = -12 + 0 -42 + 5x = -12 Add '42' to each side of the equation. -42 + 42 + 5x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = -12 + 42 5x = -12 + 42 Combine like terms: -12 + 42 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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