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Simplifying 284 = -7(5x + -1) + -3 Reorder the terms: 284 = -7(-1 + 5x) + -3 284 = (-1 * -7 + 5x * -7) + -3 284 = (7 + -35x) + -3 Reorder the terms: 284 = 7 + -3 + -35x Combine like terms: 7 + -3 = 4 284 = 4 + -35x Solving 284 = 4 + -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. 284 + 35x = 4 + -35x + 35x Combine like terms: -35x + 35x = 0 284 + 35x = 4 + 0 284 + 35x = 4 Add '-284' to each side of the equation. 284 + -284 + 35x = 4 + -284 Combine like terms: 284 + -284 = 0 0 + 35x = 4 + -284 35x = 4 + -284 Combine like terms: 4 + -284 = -280 35x = -280 Divide each side by '35'. x = -8 Simplifying x = -8
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