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Simplifying 5(x + 6) + -1(6 + -4x) = 8x Reorder the terms: 5(6 + x) + -1(6 + -4x) = 8x (6 * 5 + x * 5) + -1(6 + -4x) = 8x (30 + 5x) + -1(6 + -4x) = 8x 30 + 5x + (6 * -1 + -4x * -1) = 8x 30 + 5x + (-6 + 4x) = 8x Reorder the terms: 30 + -6 + 5x + 4x = 8x Combine like terms: 30 + -6 = 24 24 + 5x + 4x = 8x Combine like terms: 5x + 4x = 9x 24 + 9x = 8x Solving 24 + 9x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 9x + -8x = 8x + -8x Combine like terms: 9x + -8x = 1x 24 + 1x = 8x + -8x Combine like terms: 8x + -8x = 0 24 + 1x = 0 Add '-24' to each side of the equation. 24 + -24 + 1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 0 + -24 1x = 0 + -24 Combine like terms: 0 + -24 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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