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Simplifying 4(5x + 1) = 8(3x + -5) Reorder the terms: 4(1 + 5x) = 8(3x + -5) (1 * 4 + 5x * 4) = 8(3x + -5) (4 + 20x) = 8(3x + -5) Reorder the terms: 4 + 20x = 8(-5 + 3x) 4 + 20x = (-5 * 8 + 3x * 8) 4 + 20x = (-40 + 24x) Solving 4 + 20x = -40 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 4 + 20x + -24x = -40 + 24x + -24x Combine like terms: 20x + -24x = -4x 4 + -4x = -40 + 24x + -24x Combine like terms: 24x + -24x = 0 4 + -4x = -40 + 0 4 + -4x = -40 Add '-4' to each side of the equation. 4 + -4 + -4x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -40 + -4 -4x = -40 + -4 Combine like terms: -40 + -4 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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