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Simplifying 3(x + 2) + 2 = 5x + 2(2x + 2) Reorder the terms: 3(2 + x) + 2 = 5x + 2(2x + 2) (2 * 3 + x * 3) + 2 = 5x + 2(2x + 2) (6 + 3x) + 2 = 5x + 2(2x + 2) Reorder the terms: 6 + 2 + 3x = 5x + 2(2x + 2) Combine like terms: 6 + 2 = 8 8 + 3x = 5x + 2(2x + 2) Reorder the terms: 8 + 3x = 5x + 2(2 + 2x) 8 + 3x = 5x + (2 * 2 + 2x * 2) 8 + 3x = 5x + (4 + 4x) Reorder the terms: 8 + 3x = 4 + 5x + 4x Combine like terms: 5x + 4x = 9x 8 + 3x = 4 + 9x Solving 8 + 3x = 4 + 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 + 3x + -9x = 4 + 9x + -9x Combine like terms: 3x + -9x = -6x 8 + -6x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -6x = 4 + 0 8 + -6x = 4 Add '-8' to each side of the equation. 8 + -8 + -6x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 4 + -8 -6x = 4 + -8 Combine like terms: 4 + -8 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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