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Simplifying 5(-3x + -8) = 5(8x + 4) Reorder the terms: 5(-8 + -3x) = 5(8x + 4) (-8 * 5 + -3x * 5) = 5(8x + 4) (-40 + -15x) = 5(8x + 4) Reorder the terms: -40 + -15x = 5(4 + 8x) -40 + -15x = (4 * 5 + 8x * 5) -40 + -15x = (20 + 40x) Solving -40 + -15x = 20 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -40 + -15x + -40x = 20 + 40x + -40x Combine like terms: -15x + -40x = -55x -40 + -55x = 20 + 40x + -40x Combine like terms: 40x + -40x = 0 -40 + -55x = 20 + 0 -40 + -55x = 20 Add '40' to each side of the equation. -40 + 40 + -55x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -55x = 20 + 40 -55x = 20 + 40 Combine like terms: 20 + 40 = 60 -55x = 60 Divide each side by '-55'. x = -1.090909091 Simplifying x = -1.090909091
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