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Simplifying 3x + 6 = 4(x + 2) + 5x Reorder the terms: 6 + 3x = 4(x + 2) + 5x Reorder the terms: 6 + 3x = 4(2 + x) + 5x 6 + 3x = (2 * 4 + x * 4) + 5x 6 + 3x = (8 + 4x) + 5x Combine like terms: 4x + 5x = 9x 6 + 3x = 8 + 9x Solving 6 + 3x = 8 + 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. 6 + 3x + -9x = 8 + 9x + -9x Combine like terms: 3x + -9x = -6x 6 + -6x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -6x = 8 + 0 6 + -6x = 8 Add '-6' to each side of the equation. 6 + -6 + -6x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 8 + -6 -6x = 8 + -6 Combine like terms: 8 + -6 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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