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Simplifying x + -6 + 3x + 8 + 2x + 10 = 54 Reorder the terms: -6 + 8 + 10 + x + 3x + 2x = 54 Combine like terms: -6 + 8 = 2 2 + 10 + x + 3x + 2x = 54 Combine like terms: 2 + 10 = 12 12 + x + 3x + 2x = 54 Combine like terms: x + 3x = 4x 12 + 4x + 2x = 54 Combine like terms: 4x + 2x = 6x 12 + 6x = 54 Solving 12 + 6x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 54 + -12 6x = 54 + -12 Combine like terms: 54 + -12 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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