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Simplifying 17(6 + -1x) = 47 + 10x (6 * 17 + -1x * 17) = 47 + 10x (102 + -17x) = 47 + 10x Solving 102 + -17x = 47 + 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. 102 + -17x + -10x = 47 + 10x + -10x Combine like terms: -17x + -10x = -27x 102 + -27x = 47 + 10x + -10x Combine like terms: 10x + -10x = 0 102 + -27x = 47 + 0 102 + -27x = 47 Add '-102' to each side of the equation. 102 + -102 + -27x = 47 + -102 Combine like terms: 102 + -102 = 0 0 + -27x = 47 + -102 -27x = 47 + -102 Combine like terms: 47 + -102 = -55 -27x = -55 Divide each side by '-27'. x = 2.037037037 Simplifying x = 2.037037037
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