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Simplifying 5(4x + -8) + -8 = 5(x + -2) + 37 Reorder the terms: 5(-8 + 4x) + -8 = 5(x + -2) + 37 (-8 * 5 + 4x * 5) + -8 = 5(x + -2) + 37 (-40 + 20x) + -8 = 5(x + -2) + 37 Reorder the terms: -40 + -8 + 20x = 5(x + -2) + 37 Combine like terms: -40 + -8 = -48 -48 + 20x = 5(x + -2) + 37 Reorder the terms: -48 + 20x = 5(-2 + x) + 37 -48 + 20x = (-2 * 5 + x * 5) + 37 -48 + 20x = (-10 + 5x) + 37 Reorder the terms: -48 + 20x = -10 + 37 + 5x Combine like terms: -10 + 37 = 27 -48 + 20x = 27 + 5x Solving -48 + 20x = 27 + 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. -48 + 20x + -5x = 27 + 5x + -5x Combine like terms: 20x + -5x = 15x -48 + 15x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 15x = 27 + 0 -48 + 15x = 27 Add '48' to each side of the equation. -48 + 48 + 15x = 27 + 48 Combine like terms: -48 + 48 = 0 0 + 15x = 27 + 48 15x = 27 + 48 Combine like terms: 27 + 48 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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