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Simplifying 5(4x + -7) + 8 = (8x) + -11 Reorder the terms: 5(-7 + 4x) + 8 = (8x) + -11 (-7 * 5 + 4x * 5) + 8 = (8x) + -11 (-35 + 20x) + 8 = (8x) + -11 Reorder the terms: -35 + 8 + 20x = (8x) + -11 Combine like terms: -35 + 8 = -27 -27 + 20x = (8x) + -11 Reorder the terms: -27 + 20x = -11 + (8x) Solving -27 + 20x = -11 + (8x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-8x)' to each side of the equation. -27 + 20x + (-8x) = -11 + (8x) + (-8x) Combine like terms: 20x + (-8x) = 12x -27 + 12x = -11 + (8x) + (-8x) Combine like terms: (8x) + (-8x) = 0 -27 + 12x = -11 + 0 -27 + 12x = -11 Add '27' to each side of the equation. -27 + 27 + 12x = -11 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = -11 + 27 12x = -11 + 27 Combine like terms: -11 + 27 = 16 12x = 16 Divide each side by '12'. x = 1.333333333 Simplifying x = 1.333333333
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