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Simplifying 5(2x + -8) + -5 = 5(x + -2) Reorder the terms: 5(-8 + 2x) + -5 = 5(x + -2) (-8 * 5 + 2x * 5) + -5 = 5(x + -2) (-40 + 10x) + -5 = 5(x + -2) Reorder the terms: -40 + -5 + 10x = 5(x + -2) Combine like terms: -40 + -5 = -45 -45 + 10x = 5(x + -2) Reorder the terms: -45 + 10x = 5(-2 + x) -45 + 10x = (-2 * 5 + x * 5) -45 + 10x = (-10 + 5x) Solving -45 + 10x = -10 + 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. -45 + 10x + -5x = -10 + 5x + -5x Combine like terms: 10x + -5x = 5x -45 + 5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 5x = -10 + 0 -45 + 5x = -10 Add '45' to each side of the equation. -45 + 45 + 5x = -10 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = -10 + 45 5x = -10 + 45 Combine like terms: -10 + 45 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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