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Simplifying 3x + -4 + 7x + -20 = 6 + -5x + 15 + -8x + 6 Reorder the terms: -4 + -20 + 3x + 7x = 6 + -5x + 15 + -8x + 6 Combine like terms: -4 + -20 = -24 -24 + 3x + 7x = 6 + -5x + 15 + -8x + 6 Combine like terms: 3x + 7x = 10x -24 + 10x = 6 + -5x + 15 + -8x + 6 Reorder the terms: -24 + 10x = 6 + 15 + 6 + -5x + -8x Combine like terms: 6 + 15 = 21 -24 + 10x = 21 + 6 + -5x + -8x Combine like terms: 21 + 6 = 27 -24 + 10x = 27 + -5x + -8x Combine like terms: -5x + -8x = -13x -24 + 10x = 27 + -13x Solving -24 + 10x = 27 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -24 + 10x + 13x = 27 + -13x + 13x Combine like terms: 10x + 13x = 23x -24 + 23x = 27 + -13x + 13x Combine like terms: -13x + 13x = 0 -24 + 23x = 27 + 0 -24 + 23x = 27 Add '24' to each side of the equation. -24 + 24 + 23x = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 23x = 27 + 24 23x = 27 + 24 Combine like terms: 27 + 24 = 51 23x = 51 Divide each side by '23'. x = 2.217391304 Simplifying x = 2.217391304
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