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Simplifying 8 + 2(1 + -2x) = 17 + -5x 8 + (1 * 2 + -2x * 2) = 17 + -5x 8 + (2 + -4x) = 17 + -5x Combine like terms: 8 + 2 = 10 10 + -4x = 17 + -5x Solving 10 + -4x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + -4x + 5x = 17 + -5x + 5x Combine like terms: -4x + 5x = 1x 10 + 1x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 1x = 17 + 0 10 + 1x = 17 Add '-10' to each side of the equation. 10 + -10 + 1x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 17 + -10 1x = 17 + -10 Combine like terms: 17 + -10 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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