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