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Simplifying 4x + 6 = 2x + 3(x + 2) Reorder the terms: 6 + 4x = 2x + 3(x + 2) Reorder the terms: 6 + 4x = 2x + 3(2 + x) 6 + 4x = 2x + (2 * 3 + x * 3) 6 + 4x = 2x + (6 + 3x) Reorder the terms: 6 + 4x = 6 + 2x + 3x Combine like terms: 2x + 3x = 5x 6 + 4x = 6 + 5x Add '-6' to each side of the equation. 6 + -6 + 4x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + 4x = 6 + -6 + 5x 4x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 4x = 0 + 5x 4x = 5x Solving 4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4x + -5x = 5x + -5x Combine like terms: 4x + -5x = -1x -1x = 5x + -5x Combine like terms: 5x + -5x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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