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Simplifying 2(x + -3) + 4(x + 2) = 14 Reorder the terms: 2(-3 + x) + 4(x + 2) = 14 (-3 * 2 + x * 2) + 4(x + 2) = 14 (-6 + 2x) + 4(x + 2) = 14 Reorder the terms: -6 + 2x + 4(2 + x) = 14 -6 + 2x + (2 * 4 + x * 4) = 14 -6 + 2x + (8 + 4x) = 14 Reorder the terms: -6 + 8 + 2x + 4x = 14 Combine like terms: -6 + 8 = 2 2 + 2x + 4x = 14 Combine like terms: 2x + 4x = 6x 2 + 6x = 14 Solving 2 + 6x = 14 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 + 6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 14 + -2 6x = 14 + -2 Combine like terms: 14 + -2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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