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Simplifying 5(4x + -7) + 8 = 2x + -27 Reorder the terms: 5(-7 + 4x) + 8 = 2x + -27 (-7 * 5 + 4x * 5) + 8 = 2x + -27 (-35 + 20x) + 8 = 2x + -27 Reorder the terms: -35 + 8 + 20x = 2x + -27 Combine like terms: -35 + 8 = -27 -27 + 20x = 2x + -27 Reorder the terms: -27 + 20x = -27 + 2x Add '27' to each side of the equation. -27 + 27 + 20x = -27 + 27 + 2x Combine like terms: -27 + 27 = 0 0 + 20x = -27 + 27 + 2x 20x = -27 + 27 + 2x Combine like terms: -27 + 27 = 0 20x = 0 + 2x 20x = 2x Solving 20x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20x + -2x = 2x + -2x Combine like terms: 20x + -2x = 18x 18x = 2x + -2x Combine like terms: 2x + -2x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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