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Simplifying -294 = 7(5x + 13) Reorder the terms: -294 = 7(13 + 5x) -294 = (13 * 7 + 5x * 7) -294 = (91 + 35x) Solving -294 = 91 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -294 + -35x = 91 + 35x + -35x Combine like terms: 35x + -35x = 0 -294 + -35x = 91 + 0 -294 + -35x = 91 Add '294' to each side of the equation. -294 + 294 + -35x = 91 + 294 Combine like terms: -294 + 294 = 0 0 + -35x = 91 + 294 -35x = 91 + 294 Combine like terms: 91 + 294 = 385 -35x = 385 Divide each side by '-35'. x = -11 Simplifying x = -11
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