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Simplifying 3(1 + -8x) + -8(4x + -1) = 67 (1 * 3 + -8x * 3) + -8(4x + -1) = 67 (3 + -24x) + -8(4x + -1) = 67 Reorder the terms: 3 + -24x + -8(-1 + 4x) = 67 3 + -24x + (-1 * -8 + 4x * -8) = 67 3 + -24x + (8 + -32x) = 67 Reorder the terms: 3 + 8 + -24x + -32x = 67 Combine like terms: 3 + 8 = 11 11 + -24x + -32x = 67 Combine like terms: -24x + -32x = -56x 11 + -56x = 67 Solving 11 + -56x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -56x = 67 + -11 Combine like terms: 11 + -11 = 0 0 + -56x = 67 + -11 -56x = 67 + -11 Combine like terms: 67 + -11 = 56 -56x = 56 Divide each side by '-56'. x = -1 Simplifying x = -1
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