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Simplifying 10 + -4(1 + -3x) = 6x + -21 10 + (1 * -4 + -3x * -4) = 6x + -21 10 + (-4 + 12x) = 6x + -21 Combine like terms: 10 + -4 = 6 6 + 12x = 6x + -21 Reorder the terms: 6 + 12x = -21 + 6x Solving 6 + 12x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 12x + -6x = -21 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = -21 + 0 6 + 6x = -21 Add '-6' to each side of the equation. 6 + -6 + 6x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -21 + -6 6x = -21 + -6 Combine like terms: -21 + -6 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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