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Simplifying 2x + 24 = 4(3x + 1) Reorder the terms: 24 + 2x = 4(3x + 1) Reorder the terms: 24 + 2x = 4(1 + 3x) 24 + 2x = (1 * 4 + 3x * 4) 24 + 2x = (4 + 12x) Solving 24 + 2x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 2x + -12x = 4 + 12x + -12x Combine like terms: 2x + -12x = -10x 24 + -10x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -10x = 4 + 0 24 + -10x = 4 Add '-24' to each side of the equation. 24 + -24 + -10x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 4 + -24 -10x = 4 + -24 Combine like terms: 4 + -24 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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