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Simplifying 2(5x + 10) = 8(2x + -5) Reorder the terms: 2(10 + 5x) = 8(2x + -5) (10 * 2 + 5x * 2) = 8(2x + -5) (20 + 10x) = 8(2x + -5) Reorder the terms: 20 + 10x = 8(-5 + 2x) 20 + 10x = (-5 * 8 + 2x * 8) 20 + 10x = (-40 + 16x) Solving 20 + 10x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20 + 10x + -16x = -40 + 16x + -16x Combine like terms: 10x + -16x = -6x 20 + -6x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + -6x = -40 + 0 20 + -6x = -40 Add '-20' to each side of the equation. 20 + -20 + -6x = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -40 + -20 -6x = -40 + -20 Combine like terms: -40 + -20 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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