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Simplifying 5(x + -8) + -5 = 3(x + 2) Reorder the terms: 5(-8 + x) + -5 = 3(x + 2) (-8 * 5 + x * 5) + -5 = 3(x + 2) (-40 + 5x) + -5 = 3(x + 2) Reorder the terms: -40 + -5 + 5x = 3(x + 2) Combine like terms: -40 + -5 = -45 -45 + 5x = 3(x + 2) Reorder the terms: -45 + 5x = 3(2 + x) -45 + 5x = (2 * 3 + x * 3) -45 + 5x = (6 + 3x) Solving -45 + 5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x -45 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 2x = 6 + 0 -45 + 2x = 6 Add '45' to each side of the equation. -45 + 45 + 2x = 6 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = 6 + 45 2x = 6 + 45 Combine like terms: 6 + 45 = 51 2x = 51 Divide each side by '2'. x = 25.5 Simplifying x = 25.5
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