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Simplifying 6(1 + -4x) = 3x + -2 (1 * 6 + -4x * 6) = 3x + -2 (6 + -24x) = 3x + -2 Reorder the terms: 6 + -24x = -2 + 3x Solving 6 + -24x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -24x + -3x = -2 + 3x + -3x Combine like terms: -24x + -3x = -27x 6 + -27x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -27x = -2 + 0 6 + -27x = -2 Add '-6' to each side of the equation. 6 + -6 + -27x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -27x = -2 + -6 -27x = -2 + -6 Combine like terms: -2 + -6 = -8 -27x = -8 Divide each side by '-27'. x = 0.2962962963 Simplifying x = 0.2962962963
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