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Simplifying 5(3x + -8) + -5 = 5(x + -4) + 55 Reorder the terms: 5(-8 + 3x) + -5 = 5(x + -4) + 55 (-8 * 5 + 3x * 5) + -5 = 5(x + -4) + 55 (-40 + 15x) + -5 = 5(x + -4) + 55 Reorder the terms: -40 + -5 + 15x = 5(x + -4) + 55 Combine like terms: -40 + -5 = -45 -45 + 15x = 5(x + -4) + 55 Reorder the terms: -45 + 15x = 5(-4 + x) + 55 -45 + 15x = (-4 * 5 + x * 5) + 55 -45 + 15x = (-20 + 5x) + 55 Reorder the terms: -45 + 15x = -20 + 55 + 5x Combine like terms: -20 + 55 = 35 -45 + 15x = 35 + 5x Solving -45 + 15x = 35 + 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 = 35 + 5x + -5x Combine like terms: 15x + -5x = 10x -45 + 10x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 10x = 35 + 0 -45 + 10x = 35 Add '45' to each side of the equation. -45 + 45 + 10x = 35 + 45 Combine like terms: -45 + 45 = 0 0 + 10x = 35 + 45 10x = 35 + 45 Combine like terms: 35 + 45 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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