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Simplifying 7(x + 7) + 5(2x + -8) = 0 Reorder the terms: 7(7 + x) + 5(2x + -8) = 0 (7 * 7 + x * 7) + 5(2x + -8) = 0 (49 + 7x) + 5(2x + -8) = 0 Reorder the terms: 49 + 7x + 5(-8 + 2x) = 0 49 + 7x + (-8 * 5 + 2x * 5) = 0 49 + 7x + (-40 + 10x) = 0 Reorder the terms: 49 + -40 + 7x + 10x = 0 Combine like terms: 49 + -40 = 9 9 + 7x + 10x = 0 Combine like terms: 7x + 10x = 17x 9 + 17x = 0 Solving 9 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 17x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 17x = 0 + -9 17x = 0 + -9 Combine like terms: 0 + -9 = -9 17x = -9 Divide each side by '17'. x = -0.5294117647 Simplifying x = -0.5294117647
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