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Simplifying 5(3x + -8) + -5 = 5(x + -3) + -10 Reorder the terms: 5(-8 + 3x) + -5 = 5(x + -3) + -10 (-8 * 5 + 3x * 5) + -5 = 5(x + -3) + -10 (-40 + 15x) + -5 = 5(x + -3) + -10 Reorder the terms: -40 + -5 + 15x = 5(x + -3) + -10 Combine like terms: -40 + -5 = -45 -45 + 15x = 5(x + -3) + -10 Reorder the terms: -45 + 15x = 5(-3 + x) + -10 -45 + 15x = (-3 * 5 + x * 5) + -10 -45 + 15x = (-15 + 5x) + -10 Reorder the terms: -45 + 15x = -15 + -10 + 5x Combine like terms: -15 + -10 = -25 -45 + 15x = -25 + 5x Solving -45 + 15x = -25 + 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 + 15x + -5x = -25 + 5x + -5x Combine like terms: 15x + -5x = 10x -45 + 10x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 10x = -25 + 0 -45 + 10x = -25 Add '45' to each side of the equation. -45 + 45 + 10x = -25 + 45 Combine like terms: -45 + 45 = 0 0 + 10x = -25 + 45 10x = -25 + 45 Combine like terms: -25 + 45 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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