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Simplifying -4(8 + 7x) = x + 26 (8 * -4 + 7x * -4) = x + 26 (-32 + -28x) = x + 26 Reorder the terms: -32 + -28x = 26 + x Solving -32 + -28x = 26 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + -28x + -1x = 26 + x + -1x Combine like terms: -28x + -1x = -29x -32 + -29x = 26 + x + -1x Combine like terms: x + -1x = 0 -32 + -29x = 26 + 0 -32 + -29x = 26 Add '32' to each side of the equation. -32 + 32 + -29x = 26 + 32 Combine like terms: -32 + 32 = 0 0 + -29x = 26 + 32 -29x = 26 + 32 Combine like terms: 26 + 32 = 58 -29x = 58 Divide each side by '-29'. x = -2 Simplifying x = -2
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