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Simplifying 4(x + 3) + 2 = 2x + 24 Reorder the terms: 4(3 + x) + 2 = 2x + 24 (3 * 4 + x * 4) + 2 = 2x + 24 (12 + 4x) + 2 = 2x + 24 Reorder the terms: 12 + 2 + 4x = 2x + 24 Combine like terms: 12 + 2 = 14 14 + 4x = 2x + 24 Reorder the terms: 14 + 4x = 24 + 2x Solving 14 + 4x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 4x + -2x = 24 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 24 + 0 14 + 2x = 24 Add '-14' to each side of the equation. 14 + -14 + 2x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 24 + -14 2x = 24 + -14 Combine like terms: 24 + -14 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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