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Simplifying 6(8x + 16) = 17 + -10(x + 2) Reorder the terms: 6(16 + 8x) = 17 + -10(x + 2) (16 * 6 + 8x * 6) = 17 + -10(x + 2) (96 + 48x) = 17 + -10(x + 2) Reorder the terms: 96 + 48x = 17 + -10(2 + x) 96 + 48x = 17 + (2 * -10 + x * -10) 96 + 48x = 17 + (-20 + -10x) Combine like terms: 17 + -20 = -3 96 + 48x = -3 + -10x Solving 96 + 48x = -3 + -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. 96 + 48x + 10x = -3 + -10x + 10x Combine like terms: 48x + 10x = 58x 96 + 58x = -3 + -10x + 10x Combine like terms: -10x + 10x = 0 96 + 58x = -3 + 0 96 + 58x = -3 Add '-96' to each side of the equation. 96 + -96 + 58x = -3 + -96 Combine like terms: 96 + -96 = 0 0 + 58x = -3 + -96 58x = -3 + -96 Combine like terms: -3 + -96 = -99 58x = -99 Divide each side by '58'. x = -1.706896552 Simplifying x = -1.706896552
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