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Simplifying 3(x + -2) + -4(x + 2) = 14 Reorder the terms: 3(-2 + x) + -4(x + 2) = 14 (-2 * 3 + x * 3) + -4(x + 2) = 14 (-6 + 3x) + -4(x + 2) = 14 Reorder the terms: -6 + 3x + -4(2 + x) = 14 -6 + 3x + (2 * -4 + x * -4) = 14 -6 + 3x + (-8 + -4x) = 14 Reorder the terms: -6 + -8 + 3x + -4x = 14 Combine like terms: -6 + -8 = -14 -14 + 3x + -4x = 14 Combine like terms: 3x + -4x = -1x -14 + -1x = 14 Solving -14 + -1x = 14 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 + -1x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 14 + 14 -1x = 14 + 14 Combine like terms: 14 + 14 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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