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Simplifying 6(x + 2) = 2(x + -2) Reorder the terms: 6(2 + x) = 2(x + -2) (2 * 6 + x * 6) = 2(x + -2) (12 + 6x) = 2(x + -2) Reorder the terms: 12 + 6x = 2(-2 + x) 12 + 6x = (-2 * 2 + x * 2) 12 + 6x = (-4 + 2x) Solving 12 + 6x = -4 + 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. 12 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = -4 + 0 12 + 4x = -4 Add '-12' to each side of the equation. 12 + -12 + 4x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -4 + -12 4x = -4 + -12 Combine like terms: -4 + -12 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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