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Simplifying 2(x + 4) + 3(x + 2) = 2x + 12 Reorder the terms: 2(4 + x) + 3(x + 2) = 2x + 12 (4 * 2 + x * 2) + 3(x + 2) = 2x + 12 (8 + 2x) + 3(x + 2) = 2x + 12 Reorder the terms: 8 + 2x + 3(2 + x) = 2x + 12 8 + 2x + (2 * 3 + x * 3) = 2x + 12 8 + 2x + (6 + 3x) = 2x + 12 Reorder the terms: 8 + 6 + 2x + 3x = 2x + 12 Combine like terms: 8 + 6 = 14 14 + 2x + 3x = 2x + 12 Combine like terms: 2x + 3x = 5x 14 + 5x = 2x + 12 Reorder the terms: 14 + 5x = 12 + 2x Solving 14 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x 14 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 3x = 12 + 0 14 + 3x = 12 Add '-14' to each side of the equation. 14 + -14 + 3x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 12 + -14 3x = 12 + -14 Combine like terms: 12 + -14 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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