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Simplifying 2(x + 24) = 6(3 + 2x) Reorder the terms: 2(24 + x) = 6(3 + 2x) (24 * 2 + x * 2) = 6(3 + 2x) (48 + 2x) = 6(3 + 2x) 48 + 2x = (3 * 6 + 2x * 6) 48 + 2x = (18 + 12x) Solving 48 + 2x = 18 + 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. 48 + 2x + -12x = 18 + 12x + -12x Combine like terms: 2x + -12x = -10x 48 + -10x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 48 + -10x = 18 + 0 48 + -10x = 18 Add '-48' to each side of the equation. 48 + -48 + -10x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -10x = 18 + -48 -10x = 18 + -48 Combine like terms: 18 + -48 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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