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Simplifying -1x + -12 + 3x + 6 = x + -21 Reorder the terms: -12 + 6 + -1x + 3x = x + -21 Combine like terms: -12 + 6 = -6 -6 + -1x + 3x = x + -21 Combine like terms: -1x + 3x = 2x -6 + 2x = x + -21 Reorder the terms: -6 + 2x = -21 + x Solving -6 + 2x = -21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = -21 + x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = -21 + x + -1x Combine like terms: x + -1x = 0 -6 + 1x = -21 + 0 -6 + 1x = -21 Add '6' to each side of the equation. -6 + 6 + 1x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -21 + 6 1x = -21 + 6 Combine like terms: -21 + 6 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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