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Simplifying -259 = 7(6x + 5) Reorder the terms: -259 = 7(5 + 6x) -259 = (5 * 7 + 6x * 7) -259 = (35 + 42x) Solving -259 = 35 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -259 + -42x = 35 + 42x + -42x Combine like terms: 42x + -42x = 0 -259 + -42x = 35 + 0 -259 + -42x = 35 Add '259' to each side of the equation. -259 + 259 + -42x = 35 + 259 Combine like terms: -259 + 259 = 0 0 + -42x = 35 + 259 -42x = 35 + 259 Combine like terms: 35 + 259 = 294 -42x = 294 Divide each side by '-42'. x = -7 Simplifying x = -7
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