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Simplifying -292 = 8x + -4(1 + -7x) -292 = 8x + (1 * -4 + -7x * -4) -292 = 8x + (-4 + 28x) Reorder the terms: -292 = -4 + 8x + 28x Combine like terms: 8x + 28x = 36x -292 = -4 + 36x Solving -292 = -4 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -292 + -36x = -4 + 36x + -36x Combine like terms: 36x + -36x = 0 -292 + -36x = -4 + 0 -292 + -36x = -4 Add '292' to each side of the equation. -292 + 292 + -36x = -4 + 292 Combine like terms: -292 + 292 = 0 0 + -36x = -4 + 292 -36x = -4 + 292 Combine like terms: -4 + 292 = 288 -36x = 288 Divide each side by '-36'. x = -8 Simplifying x = -8
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