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