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Simplifying 6x + -2 + 4x = 5x + 2x + 19 Reorder the terms: -2 + 6x + 4x = 5x + 2x + 19 Combine like terms: 6x + 4x = 10x -2 + 10x = 5x + 2x + 19 Reorder the terms: -2 + 10x = 19 + 5x + 2x Combine like terms: 5x + 2x = 7x -2 + 10x = 19 + 7x Solving -2 + 10x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 10x + -7x = 19 + 7x + -7x Combine like terms: 10x + -7x = 3x -2 + 3x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 3x = 19 + 0 -2 + 3x = 19 Add '2' to each side of the equation. -2 + 2 + 3x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 19 + 2 3x = 19 + 2 Combine like terms: 19 + 2 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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