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Simplifying 6 + 6 + 4 + 12 + 2x + -1 = x + 5 + x + 8 + x + 9 Reorder the terms: 6 + 6 + 4 + 12 + -1 + 2x = x + 5 + x + 8 + x + 9 Combine like terms: 6 + 6 = 12 12 + 4 + 12 + -1 + 2x = x + 5 + x + 8 + x + 9 Combine like terms: 12 + 4 = 16 16 + 12 + -1 + 2x = x + 5 + x + 8 + x + 9 Combine like terms: 16 + 12 = 28 28 + -1 + 2x = x + 5 + x + 8 + x + 9 Combine like terms: 28 + -1 = 27 27 + 2x = x + 5 + x + 8 + x + 9 Reorder the terms: 27 + 2x = 5 + 8 + 9 + x + x + x Combine like terms: 5 + 8 = 13 27 + 2x = 13 + 9 + x + x + x Combine like terms: 13 + 9 = 22 27 + 2x = 22 + x + x + x Combine like terms: x + x = 2x 27 + 2x = 22 + 2x + x Combine like terms: 2x + x = 3x 27 + 2x = 22 + 3x Solving 27 + 2x = 22 + 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. 27 + 2x + -3x = 22 + 3x + -3x Combine like terms: 2x + -3x = -1x 27 + -1x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -1x = 22 + 0 27 + -1x = 22 Add '-27' to each side of the equation. 27 + -27 + -1x = 22 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 22 + -27 -1x = 22 + -27 Combine like terms: 22 + -27 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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