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Simplifying 1 + 3x + -21 + -14 + -2x = 12x + 3x + -24 Reorder the terms: 1 + -21 + -14 + 3x + -2x = 12x + 3x + -24 Combine like terms: 1 + -21 = -20 -20 + -14 + 3x + -2x = 12x + 3x + -24 Combine like terms: -20 + -14 = -34 -34 + 3x + -2x = 12x + 3x + -24 Combine like terms: 3x + -2x = 1x -34 + 1x = 12x + 3x + -24 Reorder the terms: -34 + 1x = -24 + 12x + 3x Combine like terms: 12x + 3x = 15x -34 + 1x = -24 + 15x Solving -34 + 1x = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -34 + 1x + -15x = -24 + 15x + -15x Combine like terms: 1x + -15x = -14x -34 + -14x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 -34 + -14x = -24 + 0 -34 + -14x = -24 Add '34' to each side of the equation. -34 + 34 + -14x = -24 + 34 Combine like terms: -34 + 34 = 0 0 + -14x = -24 + 34 -14x = -24 + 34 Combine like terms: -24 + 34 = 10 -14x = 10 Divide each side by '-14'. x = -0.7142857143 Simplifying x = -0.7142857143
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