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Simplifying 12x + 3 = 11(x + 9) + -3 Reorder the terms: 3 + 12x = 11(x + 9) + -3 Reorder the terms: 3 + 12x = 11(9 + x) + -3 3 + 12x = (9 * 11 + x * 11) + -3 3 + 12x = (99 + 11x) + -3 Reorder the terms: 3 + 12x = 99 + -3 + 11x Combine like terms: 99 + -3 = 96 3 + 12x = 96 + 11x Solving 3 + 12x = 96 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 12x + -11x = 96 + 11x + -11x Combine like terms: 12x + -11x = 1x 3 + 1x = 96 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + 1x = 96 + 0 3 + 1x = 96 Add '-3' to each side of the equation. 3 + -3 + 1x = 96 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 96 + -3 1x = 96 + -3 Combine like terms: 96 + -3 = 93 1x = 93 Divide each side by '1'. x = 93 Simplifying x = 93
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