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Simplifying -83 = -4(1 + -7x) + 5 -83 = (1 * -4 + -7x * -4) + 5 -83 = (-4 + 28x) + 5 Reorder the terms: -83 = -4 + 5 + 28x Combine like terms: -4 + 5 = 1 -83 = 1 + 28x Solving -83 = 1 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -83 + -28x = 1 + 28x + -28x Combine like terms: 28x + -28x = 0 -83 + -28x = 1 + 0 -83 + -28x = 1 Add '83' to each side of the equation. -83 + 83 + -28x = 1 + 83 Combine like terms: -83 + 83 = 0 0 + -28x = 1 + 83 -28x = 1 + 83 Combine like terms: 1 + 83 = 84 -28x = 84 Divide each side by '-28'. x = -3 Simplifying x = -3
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