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Simplifying 1008 = 6(x + 17) Reorder the terms: 1008 = 6(17 + x) 1008 = (17 * 6 + x * 6) 1008 = (102 + 6x) Solving 1008 = 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. 1008 + -6x = 102 + 6x + -6x Combine like terms: 6x + -6x = 0 1008 + -6x = 102 + 0 1008 + -6x = 102 Add '-1008' to each side of the equation. 1008 + -1008 + -6x = 102 + -1008 Combine like terms: 1008 + -1008 = 0 0 + -6x = 102 + -1008 -6x = 102 + -1008 Combine like terms: 102 + -1008 = -906 -6x = -906 Divide each side by '-6'. x = 151 Simplifying x = 151
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