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Simplifying 5x + 6(-7x + 17) = -157 Reorder the terms: 5x + 6(17 + -7x) = -157 5x + (17 * 6 + -7x * 6) = -157 5x + (102 + -42x) = -157 Reorder the terms: 102 + 5x + -42x = -157 Combine like terms: 5x + -42x = -37x 102 + -37x = -157 Solving 102 + -37x = -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 + -37x = -157 + -102 Combine like terms: 102 + -102 = 0 0 + -37x = -157 + -102 -37x = -157 + -102 Combine like terms: -157 + -102 = -259 -37x = -259 Divide each side by '-37'. x = 7 Simplifying x = 7
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