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Simplifying -2(x + 6) + 4 = 4x + -2 Reorder the terms: -2(6 + x) + 4 = 4x + -2 (6 * -2 + x * -2) + 4 = 4x + -2 (-12 + -2x) + 4 = 4x + -2 Reorder the terms: -12 + 4 + -2x = 4x + -2 Combine like terms: -12 + 4 = -8 -8 + -2x = 4x + -2 Reorder the terms: -8 + -2x = -2 + 4x Solving -8 + -2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + -2x + -4x = -2 + 4x + -4x Combine like terms: -2x + -4x = -6x -8 + -6x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -6x = -2 + 0 -8 + -6x = -2 Add '8' to each side of the equation. -8 + 8 + -6x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -2 + 8 -6x = -2 + 8 Combine like terms: -2 + 8 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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