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Simplifying 8(2x + 5) = 10(2x + -4) Reorder the terms: 8(5 + 2x) = 10(2x + -4) (5 * 8 + 2x * 8) = 10(2x + -4) (40 + 16x) = 10(2x + -4) Reorder the terms: 40 + 16x = 10(-4 + 2x) 40 + 16x = (-4 * 10 + 2x * 10) 40 + 16x = (-40 + 20x) Solving 40 + 16x = -40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 40 + 16x + -20x = -40 + 20x + -20x Combine like terms: 16x + -20x = -4x 40 + -4x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 40 + -4x = -40 + 0 40 + -4x = -40 Add '-40' to each side of the equation. 40 + -40 + -4x = -40 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = -40 + -40 -4x = -40 + -40 Combine like terms: -40 + -40 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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