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Simplifying 12x + -10 + -8x + 21 = -5x + 13 + -9x + -1 + 4x Reorder the terms: -10 + 21 + 12x + -8x = -5x + 13 + -9x + -1 + 4x Combine like terms: -10 + 21 = 11 11 + 12x + -8x = -5x + 13 + -9x + -1 + 4x Combine like terms: 12x + -8x = 4x 11 + 4x = -5x + 13 + -9x + -1 + 4x Reorder the terms: 11 + 4x = 13 + -1 + -5x + -9x + 4x Combine like terms: 13 + -1 = 12 11 + 4x = 12 + -5x + -9x + 4x Combine like terms: -5x + -9x = -14x 11 + 4x = 12 + -14x + 4x Combine like terms: -14x + 4x = -10x 11 + 4x = 12 + -10x Solving 11 + 4x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 11 + 4x + 10x = 12 + -10x + 10x Combine like terms: 4x + 10x = 14x 11 + 14x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 11 + 14x = 12 + 0 11 + 14x = 12 Add '-11' to each side of the equation. 11 + -11 + 14x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = 12 + -11 14x = 12 + -11 Combine like terms: 12 + -11 = 1 14x = 1 Divide each side by '14'. x = 0.07142857143 Simplifying x = 0.07142857143
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