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Simplifying -1 + -2(10 + -12x) = -6(x + 8) + 3x -1 + (10 * -2 + -12x * -2) = -6(x + 8) + 3x -1 + (-20 + 24x) = -6(x + 8) + 3x Combine like terms: -1 + -20 = -21 -21 + 24x = -6(x + 8) + 3x Reorder the terms: -21 + 24x = -6(8 + x) + 3x -21 + 24x = (8 * -6 + x * -6) + 3x -21 + 24x = (-48 + -6x) + 3x Combine like terms: -6x + 3x = -3x -21 + 24x = -48 + -3x Solving -21 + 24x = -48 + -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. -21 + 24x + 3x = -48 + -3x + 3x Combine like terms: 24x + 3x = 27x -21 + 27x = -48 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 27x = -48 + 0 -21 + 27x = -48 Add '21' to each side of the equation. -21 + 21 + 27x = -48 + 21 Combine like terms: -21 + 21 = 0 0 + 27x = -48 + 21 27x = -48 + 21 Combine like terms: -48 + 21 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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