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Simplifying 5(2x + -8 + -2) = 5(x + -3) + 3 Reorder the terms: 5(-8 + -2 + 2x) = 5(x + -3) + 3 Combine like terms: -8 + -2 = -10 5(-10 + 2x) = 5(x + -3) + 3 (-10 * 5 + 2x * 5) = 5(x + -3) + 3 (-50 + 10x) = 5(x + -3) + 3 Reorder the terms: -50 + 10x = 5(-3 + x) + 3 -50 + 10x = (-3 * 5 + x * 5) + 3 -50 + 10x = (-15 + 5x) + 3 Reorder the terms: -50 + 10x = -15 + 3 + 5x Combine like terms: -15 + 3 = -12 -50 + 10x = -12 + 5x Solving -50 + 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. -50 + 10x + -5x = -12 + 5x + -5x Combine like terms: 10x + -5x = 5x -50 + 5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -50 + 5x = -12 + 0 -50 + 5x = -12 Add '50' to each side of the equation. -50 + 50 + 5x = -12 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = -12 + 50 5x = -12 + 50 Combine like terms: -12 + 50 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6
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