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Simplifying 2x + -5 + 7x = 19 + -3x + 4x Reorder the terms: -5 + 2x + 7x = 19 + -3x + 4x Combine like terms: 2x + 7x = 9x -5 + 9x = 19 + -3x + 4x Combine like terms: -3x + 4x = 1x -5 + 9x = 19 + 1x Solving -5 + 9x = 19 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 9x + -1x = 19 + 1x + -1x Combine like terms: 9x + -1x = 8x -5 + 8x = 19 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 8x = 19 + 0 -5 + 8x = 19 Add '5' to each side of the equation. -5 + 5 + 8x = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 19 + 5 8x = 19 + 5 Combine like terms: 19 + 5 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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