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Simplifying 6x + 4x + -19 = 38 + -9x Reorder the terms: -19 + 6x + 4x = 38 + -9x Combine like terms: 6x + 4x = 10x -19 + 10x = 38 + -9x Solving -19 + 10x = 38 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -19 + 10x + 9x = 38 + -9x + 9x Combine like terms: 10x + 9x = 19x -19 + 19x = 38 + -9x + 9x Combine like terms: -9x + 9x = 0 -19 + 19x = 38 + 0 -19 + 19x = 38 Add '19' to each side of the equation. -19 + 19 + 19x = 38 + 19 Combine like terms: -19 + 19 = 0 0 + 19x = 38 + 19 19x = 38 + 19 Combine like terms: 38 + 19 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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