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Simplifying -259 = -4(8x + 1) + 1 Reorder the terms: -259 = -4(1 + 8x) + 1 -259 = (1 * -4 + 8x * -4) + 1 -259 = (-4 + -32x) + 1 Reorder the terms: -259 = -4 + 1 + -32x Combine like terms: -4 + 1 = -3 -259 = -3 + -32x Solving -259 = -3 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -259 + 32x = -3 + -32x + 32x Combine like terms: -32x + 32x = 0 -259 + 32x = -3 + 0 -259 + 32x = -3 Add '259' to each side of the equation. -259 + 259 + 32x = -3 + 259 Combine like terms: -259 + 259 = 0 0 + 32x = -3 + 259 32x = -3 + 259 Combine like terms: -3 + 259 = 256 32x = 256 Divide each side by '32'. x = 8 Simplifying x = 8
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