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Simplifying (5(x + -7) + 2) * 8 = 4 Reorder the terms: (5(-7 + x) + 2) * 8 = 4 ((-7 * 5 + x * 5) + 2) * 8 = 4 ((-35 + 5x) + 2) * 8 = 4 Reorder the terms: (-35 + 2 + 5x) * 8 = 4 Combine like terms: -35 + 2 = -33 (-33 + 5x) * 8 = 4 Reorder the terms for easier multiplication: 8(-33 + 5x) = 4 (-33 * 8 + 5x * 8) = 4 (-264 + 40x) = 4 Solving -264 + 40x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '264' to each side of the equation. -264 + 264 + 40x = 4 + 264 Combine like terms: -264 + 264 = 0 0 + 40x = 4 + 264 40x = 4 + 264 Combine like terms: 4 + 264 = 268 40x = 268 Divide each side by '40'. x = 6.7 Simplifying x = 6.7
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