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Simplifying 4(x + 6) + x = 3(x + 2) + 2 Reorder the terms: 4(6 + x) + x = 3(x + 2) + 2 (6 * 4 + x * 4) + x = 3(x + 2) + 2 (24 + 4x) + x = 3(x + 2) + 2 Combine like terms: 4x + x = 5x 24 + 5x = 3(x + 2) + 2 Reorder the terms: 24 + 5x = 3(2 + x) + 2 24 + 5x = (2 * 3 + x * 3) + 2 24 + 5x = (6 + 3x) + 2 Reorder the terms: 24 + 5x = 6 + 2 + 3x Combine like terms: 6 + 2 = 8 24 + 5x = 8 + 3x Solving 24 + 5x = 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. 24 + 5x + -3x = 8 + 3x + -3x Combine like terms: 5x + -3x = 2x 24 + 2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 2x = 8 + 0 24 + 2x = 8 Add '-24' to each side of the equation. 24 + -24 + 2x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 8 + -24 2x = 8 + -24 Combine like terms: 8 + -24 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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