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Simplifying -283 = -7(1 + 5x) + 4 -283 = (1 * -7 + 5x * -7) + 4 -283 = (-7 + -35x) + 4 Reorder the terms: -283 = -7 + 4 + -35x Combine like terms: -7 + 4 = -3 -283 = -3 + -35x Solving -283 = -3 + -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. -283 + 35x = -3 + -35x + 35x Combine like terms: -35x + 35x = 0 -283 + 35x = -3 + 0 -283 + 35x = -3 Add '283' to each side of the equation. -283 + 283 + 35x = -3 + 283 Combine like terms: -283 + 283 = 0 0 + 35x = -3 + 283 35x = -3 + 283 Combine like terms: -3 + 283 = 280 35x = 280 Divide each side by '35'. x = 8 Simplifying x = 8
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