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Simplifying 4x + 6 = 2 + 3(x + 2) Reorder the terms: 6 + 4x = 2 + 3(x + 2) Reorder the terms: 6 + 4x = 2 + 3(2 + x) 6 + 4x = 2 + (2 * 3 + x * 3) 6 + 4x = 2 + (6 + 3x) Combine like terms: 2 + 6 = 8 6 + 4x = 8 + 3x Solving 6 + 4x = 8 + 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. 6 + 4x + -3x = 8 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 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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