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Simplifying 8(9x + -5) = 2(5x + 6) Reorder the terms: 8(-5 + 9x) = 2(5x + 6) (-5 * 8 + 9x * 8) = 2(5x + 6) (-40 + 72x) = 2(5x + 6) Reorder the terms: -40 + 72x = 2(6 + 5x) -40 + 72x = (6 * 2 + 5x * 2) -40 + 72x = (12 + 10x) Solving -40 + 72x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + 72x + -10x = 12 + 10x + -10x Combine like terms: 72x + -10x = 62x -40 + 62x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + 62x = 12 + 0 -40 + 62x = 12 Add '40' to each side of the equation. -40 + 40 + 62x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 62x = 12 + 40 62x = 12 + 40 Combine like terms: 12 + 40 = 52 62x = 52 Divide each side by '62'. x = 0.8387096774 Simplifying x = 0.8387096774
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