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Simplifying 4(x + 2) + -2 = 3(2 + x) Reorder the terms: 4(2 + x) + -2 = 3(2 + x) (2 * 4 + x * 4) + -2 = 3(2 + x) (8 + 4x) + -2 = 3(2 + x) Reorder the terms: 8 + -2 + 4x = 3(2 + x) Combine like terms: 8 + -2 = 6 6 + 4x = 3(2 + x) 6 + 4x = (2 * 3 + x * 3) 6 + 4x = (6 + 3x) Add '-6' to each side of the equation. 6 + -6 + 4x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + 4x = 6 + -6 + 3x 4x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 4x = 0 + 3x 4x = 3x Solving 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 1x = 3x + -3x Combine like terms: 3x + -3x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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