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Simplifying 2x + -3(x + 4) + 2(2x + -1) = 14 Reorder the terms: 2x + -3(4 + x) + 2(2x + -1) = 14 2x + (4 * -3 + x * -3) + 2(2x + -1) = 14 2x + (-12 + -3x) + 2(2x + -1) = 14 Reorder the terms: 2x + -12 + -3x + 2(-1 + 2x) = 14 2x + -12 + -3x + (-1 * 2 + 2x * 2) = 14 2x + -12 + -3x + (-2 + 4x) = 14 Reorder the terms: -12 + -2 + 2x + -3x + 4x = 14 Combine like terms: -12 + -2 = -14 -14 + 2x + -3x + 4x = 14 Combine like terms: 2x + -3x = -1x -14 + -1x + 4x = 14 Combine like terms: -1x + 4x = 3x -14 + 3x = 14 Solving -14 + 3x = 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 + 3x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 14 + 14 3x = 14 + 14 Combine like terms: 14 + 14 = 28 3x = 28 Divide each side by '3'. x = 9.333333333 Simplifying x = 9.333333333
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