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Simplifying 5x + 7(5 + -6x) = 294 5x + (5 * 7 + -6x * 7) = 294 5x + (35 + -42x) = 294 Reorder the terms: 35 + 5x + -42x = 294 Combine like terms: 5x + -42x = -37x 35 + -37x = 294 Solving 35 + -37x = 294 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -37x = 294 + -35 Combine like terms: 35 + -35 = 0 0 + -37x = 294 + -35 -37x = 294 + -35 Combine like terms: 294 + -35 = 259 -37x = 259 Divide each side by '-37'. x = -7 Simplifying x = -7
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