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Simplifying 5(4x + -8) + -3 = 5(x + -2) Reorder the terms: 5(-8 + 4x) + -3 = 5(x + -2) (-8 * 5 + 4x * 5) + -3 = 5(x + -2) (-40 + 20x) + -3 = 5(x + -2) Reorder the terms: -40 + -3 + 20x = 5(x + -2) Combine like terms: -40 + -3 = -43 -43 + 20x = 5(x + -2) Reorder the terms: -43 + 20x = 5(-2 + x) -43 + 20x = (-2 * 5 + x * 5) -43 + 20x = (-10 + 5x) Solving -43 + 20x = -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. -43 + 20x + -5x = -10 + 5x + -5x Combine like terms: 20x + -5x = 15x -43 + 15x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 15x = -10 + 0 -43 + 15x = -10 Add '43' to each side of the equation. -43 + 43 + 15x = -10 + 43 Combine like terms: -43 + 43 = 0 0 + 15x = -10 + 43 15x = -10 + 43 Combine like terms: -10 + 43 = 33 15x = 33 Divide each side by '15'. x = 2.2 Simplifying x = 2.2
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