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Simplifying -293 = 2 + 5(7x + -3) Reorder the terms: -293 = 2 + 5(-3 + 7x) -293 = 2 + (-3 * 5 + 7x * 5) -293 = 2 + (-15 + 35x) Combine like terms: 2 + -15 = -13 -293 = -13 + 35x Solving -293 = -13 + 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. -293 + -35x = -13 + 35x + -35x Combine like terms: 35x + -35x = 0 -293 + -35x = -13 + 0 -293 + -35x = -13 Add '293' to each side of the equation. -293 + 293 + -35x = -13 + 293 Combine like terms: -293 + 293 = 0 0 + -35x = -13 + 293 -35x = -13 + 293 Combine like terms: -13 + 293 = 280 -35x = 280 Divide each side by '-35'. x = -8 Simplifying x = -8
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