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Simplifying 3(x + -2) + 2(x + 4) = 9 Reorder the terms: 3(-2 + x) + 2(x + 4) = 9 (-2 * 3 + x * 3) + 2(x + 4) = 9 (-6 + 3x) + 2(x + 4) = 9 Reorder the terms: -6 + 3x + 2(4 + x) = 9 -6 + 3x + (4 * 2 + x * 2) = 9 -6 + 3x + (8 + 2x) = 9 Reorder the terms: -6 + 8 + 3x + 2x = 9 Combine like terms: -6 + 8 = 2 2 + 3x + 2x = 9 Combine like terms: 3x + 2x = 5x 2 + 5x = 9 Solving 2 + 5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 9 + -2 5x = 9 + -2 Combine like terms: 9 + -2 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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