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Simplifying 3(x + 2) = 4(x + 2) Reorder the terms: 3(2 + x) = 4(x + 2) (2 * 3 + x * 3) = 4(x + 2) (6 + 3x) = 4(x + 2) Reorder the terms: 6 + 3x = 4(2 + x) 6 + 3x = (2 * 4 + x * 4) 6 + 3x = (8 + 4x) Solving 6 + 3x = 8 + 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. 6 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = 8 + 0 6 + -1x = 8 Add '-6' to each side of the equation. 6 + -6 + -1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 8 + -6 -1x = 8 + -6 Combine like terms: 8 + -6 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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