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Simplifying 6[4 + -1(5 + 6x)] + -4x = -8 + 3(1 + -20x) 6[4 + (5 * -1 + 6x * -1)] + -4x = -8 + 3(1 + -20x) 6[4 + (-5 + -6x)] + -4x = -8 + 3(1 + -20x) Combine like terms: 4 + -5 = -1 6[-1 + -6x] + -4x = -8 + 3(1 + -20x) [-1 * 6 + -6x * 6] + -4x = -8 + 3(1 + -20x) [-6 + -36x] + -4x = -8 + 3(1 + -20x) Combine like terms: -36x + -4x = -40x -6 + -40x = -8 + 3(1 + -20x) -6 + -40x = -8 + (1 * 3 + -20x * 3) -6 + -40x = -8 + (3 + -60x) Combine like terms: -8 + 3 = -5 -6 + -40x = -5 + -60x Solving -6 + -40x = -5 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. -6 + -40x + 60x = -5 + -60x + 60x Combine like terms: -40x + 60x = 20x -6 + 20x = -5 + -60x + 60x Combine like terms: -60x + 60x = 0 -6 + 20x = -5 + 0 -6 + 20x = -5 Add '6' to each side of the equation. -6 + 6 + 20x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = -5 + 6 20x = -5 + 6 Combine like terms: -5 + 6 = 1 20x = 1 Divide each side by '20'. x = 0.05 Simplifying x = 0.05
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