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Simplifying -7x + 6(3x + 17) = 157 Reorder the terms: -7x + 6(17 + 3x) = 157 -7x + (17 * 6 + 3x * 6) = 157 -7x + (102 + 18x) = 157 Reorder the terms: 102 + -7x + 18x = 157 Combine like terms: -7x + 18x = 11x 102 + 11x = 157 Solving 102 + 11x = 157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 11x = 157 + -102 Combine like terms: 102 + -102 = 0 0 + 11x = 157 + -102 11x = 157 + -102 Combine like terms: 157 + -102 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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