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Simplifying 4(3x + -2) = -1x + -21 Reorder the terms: 4(-2 + 3x) = -1x + -21 (-2 * 4 + 3x * 4) = -1x + -21 (-8 + 12x) = -1x + -21 Reorder the terms: -8 + 12x = -21 + -1x Solving -8 + 12x = -21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 12x + x = -21 + -1x + x Combine like terms: 12x + x = 13x -8 + 13x = -21 + -1x + x Combine like terms: -1x + x = 0 -8 + 13x = -21 + 0 -8 + 13x = -21 Add '8' to each side of the equation. -8 + 8 + 13x = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = -21 + 8 13x = -21 + 8 Combine like terms: -21 + 8 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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