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Simplifying 24x + 12 = 6(2x + 11) + 11x + 2 Reorder the terms: 12 + 24x = 6(2x + 11) + 11x + 2 Reorder the terms: 12 + 24x = 6(11 + 2x) + 11x + 2 12 + 24x = (11 * 6 + 2x * 6) + 11x + 2 12 + 24x = (66 + 12x) + 11x + 2 Reorder the terms: 12 + 24x = 66 + 2 + 12x + 11x Combine like terms: 66 + 2 = 68 12 + 24x = 68 + 12x + 11x Combine like terms: 12x + 11x = 23x 12 + 24x = 68 + 23x Solving 12 + 24x = 68 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 12 + 24x + -23x = 68 + 23x + -23x Combine like terms: 24x + -23x = 1x 12 + 1x = 68 + 23x + -23x Combine like terms: 23x + -23x = 0 12 + 1x = 68 + 0 12 + 1x = 68 Add '-12' to each side of the equation. 12 + -12 + 1x = 68 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 68 + -12 1x = 68 + -12 Combine like terms: 68 + -12 = 56 1x = 56 Divide each side by '1'. x = 56 Simplifying x = 56
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