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Simplifying 6(2x + 2) = 24 + 3(8 + -2x) Reorder the terms: 6(2 + 2x) = 24 + 3(8 + -2x) (2 * 6 + 2x * 6) = 24 + 3(8 + -2x) (12 + 12x) = 24 + 3(8 + -2x) 12 + 12x = 24 + (8 * 3 + -2x * 3) 12 + 12x = 24 + (24 + -6x) Combine like terms: 24 + 24 = 48 12 + 12x = 48 + -6x Solving 12 + 12x = 48 + -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. 12 + 12x + 6x = 48 + -6x + 6x Combine like terms: 12x + 6x = 18x 12 + 18x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 18x = 48 + 0 12 + 18x = 48 Add '-12' to each side of the equation. 12 + -12 + 18x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 48 + -12 18x = 48 + -12 Combine like terms: 48 + -12 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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