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Simplifying 4x + 24 = 2(3x + 2) Reorder the terms: 24 + 4x = 2(3x + 2) Reorder the terms: 24 + 4x = 2(2 + 3x) 24 + 4x = (2 * 2 + 3x * 2) 24 + 4x = (4 + 6x) Solving 24 + 4x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 4x + -6x = 4 + 6x + -6x Combine like terms: 4x + -6x = -2x 24 + -2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -2x = 4 + 0 24 + -2x = 4 Add '-24' to each side of the equation. 24 + -24 + -2x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 4 + -24 -2x = 4 + -24 Combine like terms: 4 + -24 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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