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Simplifying 4x + 2 = 3(x + 6) + 8 Reorder the terms: 2 + 4x = 3(x + 6) + 8 Reorder the terms: 2 + 4x = 3(6 + x) + 8 2 + 4x = (6 * 3 + x * 3) + 8 2 + 4x = (18 + 3x) + 8 Reorder the terms: 2 + 4x = 18 + 8 + 3x Combine like terms: 18 + 8 = 26 2 + 4x = 26 + 3x Solving 2 + 4x = 26 + 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. 2 + 4x + -3x = 26 + 3x + -3x Combine like terms: 4x + -3x = 1x 2 + 1x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 1x = 26 + 0 2 + 1x = 26 Add '-2' to each side of the equation. 2 + -2 + 1x = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 26 + -2 1x = 26 + -2 Combine like terms: 26 + -2 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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