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Simplifying 10x + -10 + -4 = 3x + -27x + 20 Reorder the terms: -10 + -4 + 10x = 3x + -27x + 20 Combine like terms: -10 + -4 = -14 -14 + 10x = 3x + -27x + 20 Reorder the terms: -14 + 10x = 20 + 3x + -27x Combine like terms: 3x + -27x = -24x -14 + 10x = 20 + -24x Solving -14 + 10x = 20 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -14 + 10x + 24x = 20 + -24x + 24x Combine like terms: 10x + 24x = 34x -14 + 34x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 -14 + 34x = 20 + 0 -14 + 34x = 20 Add '14' to each side of the equation. -14 + 14 + 34x = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 34x = 20 + 14 34x = 20 + 14 Combine like terms: 20 + 14 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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