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Simplifying 1002 = 6(x + 17) Reorder the terms: 1002 = 6(17 + x) 1002 = (17 * 6 + x * 6) 1002 = (102 + 6x) Solving 1002 = 102 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1002 + -6x = 102 + 6x + -6x Combine like terms: 6x + -6x = 0 1002 + -6x = 102 + 0 1002 + -6x = 102 Add '-1002' to each side of the equation. 1002 + -1002 + -6x = 102 + -1002 Combine like terms: 1002 + -1002 = 0 0 + -6x = 102 + -1002 -6x = 102 + -1002 Combine like terms: 102 + -1002 = -900 -6x = -900 Divide each side by '-6'. x = 150 Simplifying x = 150
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