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Simplifying 4x + -1(2x + 2) = 6x + -14 Reorder the terms: 4x + -1(2 + 2x) = 6x + -14 4x + (2 * -1 + 2x * -1) = 6x + -14 4x + (-2 + -2x) = 6x + -14 Reorder the terms: -2 + 4x + -2x = 6x + -14 Combine like terms: 4x + -2x = 2x -2 + 2x = 6x + -14 Reorder the terms: -2 + 2x = -14 + 6x Solving -2 + 2x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 2x + -6x = -14 + 6x + -6x Combine like terms: 2x + -6x = -4x -2 + -4x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -4x = -14 + 0 -2 + -4x = -14 Add '2' to each side of the equation. -2 + 2 + -4x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -14 + 2 -4x = -14 + 2 Combine like terms: -14 + 2 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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