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Simplifying 2x + 5x + 8 = 3x + 6x + 6 Reorder the terms: 8 + 2x + 5x = 3x + 6x + 6 Combine like terms: 2x + 5x = 7x 8 + 7x = 3x + 6x + 6 Reorder the terms: 8 + 7x = 6 + 3x + 6x Combine like terms: 3x + 6x = 9x 8 + 7x = 6 + 9x Solving 8 + 7x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 7x + -9x = 6 + 9x + -9x Combine like terms: 7x + -9x = -2x 8 + -2x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -2x = 6 + 0 8 + -2x = 6 Add '-8' to each side of the equation. 8 + -8 + -2x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 6 + -8 -2x = 6 + -8 Combine like terms: 6 + -8 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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