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Simplifying 4(x + 6) + -1(8x + -2) = 6 + -5x Reorder the terms: 4(6 + x) + -1(8x + -2) = 6 + -5x (6 * 4 + x * 4) + -1(8x + -2) = 6 + -5x (24 + 4x) + -1(8x + -2) = 6 + -5x Reorder the terms: 24 + 4x + -1(-2 + 8x) = 6 + -5x 24 + 4x + (-2 * -1 + 8x * -1) = 6 + -5x 24 + 4x + (2 + -8x) = 6 + -5x Reorder the terms: 24 + 2 + 4x + -8x = 6 + -5x Combine like terms: 24 + 2 = 26 26 + 4x + -8x = 6 + -5x Combine like terms: 4x + -8x = -4x 26 + -4x = 6 + -5x Solving 26 + -4x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 26 + -4x + 5x = 6 + -5x + 5x Combine like terms: -4x + 5x = 1x 26 + 1x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 26 + 1x = 6 + 0 26 + 1x = 6 Add '-26' to each side of the equation. 26 + -26 + 1x = 6 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 6 + -26 1x = 6 + -26 Combine like terms: 6 + -26 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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