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Simplifying 6(1 + 4x) = -3x + -21 (1 * 6 + 4x * 6) = -3x + -21 (6 + 24x) = -3x + -21 Reorder the terms: 6 + 24x = -21 + -3x Solving 6 + 24x = -21 + -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 = -21 + -3x + 3x Combine like terms: 24x + 3x = 27x 6 + 27x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 27x = -21 + 0 6 + 27x = -21 Add '-6' to each side of the equation. 6 + -6 + 27x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 27x = -21 + -6 27x = -21 + -6 Combine like terms: -21 + -6 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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