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Simplifying 4(5x + 1) = 8(5x + -11) Reorder the terms: 4(1 + 5x) = 8(5x + -11) (1 * 4 + 5x * 4) = 8(5x + -11) (4 + 20x) = 8(5x + -11) Reorder the terms: 4 + 20x = 8(-11 + 5x) 4 + 20x = (-11 * 8 + 5x * 8) 4 + 20x = (-88 + 40x) Solving 4 + 20x = -88 + 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. 4 + 20x + -40x = -88 + 40x + -40x Combine like terms: 20x + -40x = -20x 4 + -20x = -88 + 40x + -40x Combine like terms: 40x + -40x = 0 4 + -20x = -88 + 0 4 + -20x = -88 Add '-4' to each side of the equation. 4 + -4 + -20x = -88 + -4 Combine like terms: 4 + -4 = 0 0 + -20x = -88 + -4 -20x = -88 + -4 Combine like terms: -88 + -4 = -92 -20x = -92 Divide each side by '-20'. x = 4.6 Simplifying x = 4.6
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