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Simplifying 1002 = 17(x + 6) Reorder the terms: 1002 = 17(6 + x) 1002 = (6 * 17 + x * 17) 1002 = (102 + 17x) Solving 1002 = 102 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 1002 + -17x = 102 + 17x + -17x Combine like terms: 17x + -17x = 0 1002 + -17x = 102 + 0 1002 + -17x = 102 Add '-1002' to each side of the equation. 1002 + -1002 + -17x = 102 + -1002 Combine like terms: 1002 + -1002 = 0 0 + -17x = 102 + -1002 -17x = 102 + -1002 Combine like terms: 102 + -1002 = -900 -17x = -900 Divide each side by '-17'. x = 52.94117647 Simplifying x = 52.94117647
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