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Simplifying 6(6 + -2x + -2x) + 6(2x + 8) = 12 Combine like terms: -2x + -2x = -4x 6(6 + -4x) + 6(2x + 8) = 12 (6 * 6 + -4x * 6) + 6(2x + 8) = 12 (36 + -24x) + 6(2x + 8) = 12 Reorder the terms: 36 + -24x + 6(8 + 2x) = 12 36 + -24x + (8 * 6 + 2x * 6) = 12 36 + -24x + (48 + 12x) = 12 Reorder the terms: 36 + 48 + -24x + 12x = 12 Combine like terms: 36 + 48 = 84 84 + -24x + 12x = 12 Combine like terms: -24x + 12x = -12x 84 + -12x = 12 Solving 84 + -12x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -12x = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -12x = 12 + -84 -12x = 12 + -84 Combine like terms: 12 + -84 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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