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