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Simplifying 7x + 4x + -6 = 19 + 3x + -8 Reorder the terms: -6 + 7x + 4x = 19 + 3x + -8 Combine like terms: 7x + 4x = 11x -6 + 11x = 19 + 3x + -8 Reorder the terms: -6 + 11x = 19 + -8 + 3x Combine like terms: 19 + -8 = 11 -6 + 11x = 11 + 3x Solving -6 + 11x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 11x + -3x = 11 + 3x + -3x Combine like terms: 11x + -3x = 8x -6 + 8x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 8x = 11 + 0 -6 + 8x = 11 Add '6' to each side of the equation. -6 + 6 + 8x = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 11 + 6 8x = 11 + 6 Combine like terms: 11 + 6 = 17 8x = 17 Divide each side by '8'. x = 2.125 Simplifying x = 2.125
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