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Simplifying 3x + -4(x + -2) + 2(x + 5) = 14 Reorder the terms: 3x + -4(-2 + x) + 2(x + 5) = 14 3x + (-2 * -4 + x * -4) + 2(x + 5) = 14 3x + (8 + -4x) + 2(x + 5) = 14 Reorder the terms: 3x + 8 + -4x + 2(5 + x) = 14 3x + 8 + -4x + (5 * 2 + x * 2) = 14 3x + 8 + -4x + (10 + 2x) = 14 Reorder the terms: 8 + 10 + 3x + -4x + 2x = 14 Combine like terms: 8 + 10 = 18 18 + 3x + -4x + 2x = 14 Combine like terms: 3x + -4x = -1x 18 + -1x + 2x = 14 Combine like terms: -1x + 2x = 1x 18 + 1x = 14 Solving 18 + 1x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1x = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 14 + -18 1x = 14 + -18 Combine like terms: 14 + -18 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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