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Simplifying 2 + -3(4 + -2x) + -4x = -2x + 14 2 + (4 * -3 + -2x * -3) + -4x = -2x + 14 2 + (-12 + 6x) + -4x = -2x + 14 Combine like terms: 2 + -12 = -10 -10 + 6x + -4x = -2x + 14 Combine like terms: 6x + -4x = 2x -10 + 2x = -2x + 14 Reorder the terms: -10 + 2x = 14 + -2x Solving -10 + 2x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 2x + 2x = 14 + -2x + 2x Combine like terms: 2x + 2x = 4x -10 + 4x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 4x = 14 + 0 -10 + 4x = 14 Add '10' to each side of the equation. -10 + 10 + 4x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 14 + 10 4x = 14 + 10 Combine like terms: 14 + 10 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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