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Simplifying 3x + -4 + -2x + 12x + -6 = 2x + -3x + 20 Reorder the terms: -4 + -6 + 3x + -2x + 12x = 2x + -3x + 20 Combine like terms: -4 + -6 = -10 -10 + 3x + -2x + 12x = 2x + -3x + 20 Combine like terms: 3x + -2x = 1x -10 + 1x + 12x = 2x + -3x + 20 Combine like terms: 1x + 12x = 13x -10 + 13x = 2x + -3x + 20 Reorder the terms: -10 + 13x = 20 + 2x + -3x Combine like terms: 2x + -3x = -1x -10 + 13x = 20 + -1x Solving -10 + 13x = 20 + -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. -10 + 13x + x = 20 + -1x + x Combine like terms: 13x + x = 14x -10 + 14x = 20 + -1x + x Combine like terms: -1x + x = 0 -10 + 14x = 20 + 0 -10 + 14x = 20 Add '10' to each side of the equation. -10 + 10 + 14x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 20 + 10 14x = 20 + 10 Combine like terms: 20 + 10 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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