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Simplifying 2(4x + 2) = 10 + -9x Reorder the terms: 2(2 + 4x) = 10 + -9x (2 * 2 + 4x * 2) = 10 + -9x (4 + 8x) = 10 + -9x Solving 4 + 8x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 4 + 8x + 9x = 10 + -9x + 9x Combine like terms: 8x + 9x = 17x 4 + 17x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + 17x = 10 + 0 4 + 17x = 10 Add '-4' to each side of the equation. 4 + -4 + 17x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 10 + -4 17x = 10 + -4 Combine like terms: 10 + -4 = 6 17x = 6 Divide each side by '17'. x = 0.3529411765 Simplifying x = 0.3529411765
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