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Simplifying 14x + -3x + -6 + x = 4x + -3 + -1x + -21 Reorder the terms: -6 + 14x + -3x + x = 4x + -3 + -1x + -21 Combine like terms: 14x + -3x = 11x -6 + 11x + x = 4x + -3 + -1x + -21 Combine like terms: 11x + x = 12x -6 + 12x = 4x + -3 + -1x + -21 Reorder the terms: -6 + 12x = -3 + -21 + 4x + -1x Combine like terms: -3 + -21 = -24 -6 + 12x = -24 + 4x + -1x Combine like terms: 4x + -1x = 3x -6 + 12x = -24 + 3x Solving -6 + 12x = -24 + 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 + 12x + -3x = -24 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 9x = -24 + 0 -6 + 9x = -24 Add '6' to each side of the equation. -6 + 6 + 9x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -24 + 6 9x = -24 + 6 Combine like terms: -24 + 6 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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