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Simplifying 3(x + 6) + 2(x + -2) = 6 Reorder the terms: 3(6 + x) + 2(x + -2) = 6 (6 * 3 + x * 3) + 2(x + -2) = 6 (18 + 3x) + 2(x + -2) = 6 Reorder the terms: 18 + 3x + 2(-2 + x) = 6 18 + 3x + (-2 * 2 + x * 2) = 6 18 + 3x + (-4 + 2x) = 6 Reorder the terms: 18 + -4 + 3x + 2x = 6 Combine like terms: 18 + -4 = 14 14 + 3x + 2x = 6 Combine like terms: 3x + 2x = 5x 14 + 5x = 6 Solving 14 + 5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 6 + -14 5x = 6 + -14 Combine like terms: 6 + -14 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6
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