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Simplifying 20 + -1(1 + -6x) = 5(4x + 8) + -5x + 6 20 + (1 * -1 + -6x * -1) = 5(4x + 8) + -5x + 6 20 + (-1 + 6x) = 5(4x + 8) + -5x + 6 Combine like terms: 20 + -1 = 19 19 + 6x = 5(4x + 8) + -5x + 6 Reorder the terms: 19 + 6x = 5(8 + 4x) + -5x + 6 19 + 6x = (8 * 5 + 4x * 5) + -5x + 6 19 + 6x = (40 + 20x) + -5x + 6 Reorder the terms: 19 + 6x = 40 + 6 + 20x + -5x Combine like terms: 40 + 6 = 46 19 + 6x = 46 + 20x + -5x Combine like terms: 20x + -5x = 15x 19 + 6x = 46 + 15x Solving 19 + 6x = 46 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 19 + 6x + -15x = 46 + 15x + -15x Combine like terms: 6x + -15x = -9x 19 + -9x = 46 + 15x + -15x Combine like terms: 15x + -15x = 0 19 + -9x = 46 + 0 19 + -9x = 46 Add '-19' to each side of the equation. 19 + -19 + -9x = 46 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = 46 + -19 -9x = 46 + -19 Combine like terms: 46 + -19 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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