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Simplifying -2(6 + -1x) + 6 = 4 + -4(x + -2) (6 * -2 + -1x * -2) + 6 = 4 + -4(x + -2) (-12 + 2x) + 6 = 4 + -4(x + -2) Reorder the terms: -12 + 6 + 2x = 4 + -4(x + -2) Combine like terms: -12 + 6 = -6 -6 + 2x = 4 + -4(x + -2) Reorder the terms: -6 + 2x = 4 + -4(-2 + x) -6 + 2x = 4 + (-2 * -4 + x * -4) -6 + 2x = 4 + (8 + -4x) Combine like terms: 4 + 8 = 12 -6 + 2x = 12 + -4x Solving -6 + 2x = 12 + -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. -6 + 2x + 4x = 12 + -4x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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