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Simplifying -4(x + 2) + 2 = 2(x + 6) Reorder the terms: -4(2 + x) + 2 = 2(x + 6) (2 * -4 + x * -4) + 2 = 2(x + 6) (-8 + -4x) + 2 = 2(x + 6) Reorder the terms: -8 + 2 + -4x = 2(x + 6) Combine like terms: -8 + 2 = -6 -6 + -4x = 2(x + 6) Reorder the terms: -6 + -4x = 2(6 + x) -6 + -4x = (6 * 2 + x * 2) -6 + -4x = (12 + 2x) Solving -6 + -4x = 12 + 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. -6 + -4x + -2x = 12 + 2x + -2x Combine like terms: -4x + -2x = -6x -6 + -6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 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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