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Simplifying 8x + -6 + 3x = 7 + -1x + 14 Reorder the terms: -6 + 8x + 3x = 7 + -1x + 14 Combine like terms: 8x + 3x = 11x -6 + 11x = 7 + -1x + 14 Reorder the terms: -6 + 11x = 7 + 14 + -1x Combine like terms: 7 + 14 = 21 -6 + 11x = 21 + -1x Solving -6 + 11x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 11x + x = 21 + -1x + x Combine like terms: 11x + x = 12x -6 + 12x = 21 + -1x + x Combine like terms: -1x + x = 0 -6 + 12x = 21 + 0 -6 + 12x = 21 Add '6' to each side of the equation. -6 + 6 + 12x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 21 + 6 12x = 21 + 6 Combine like terms: 21 + 6 = 27 12x = 27 Divide each side by '12'. x = 2.25 Simplifying x = 2.25
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