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Simplifying 12(x + 11) = 9(x + 19) Reorder the terms: 12(11 + x) = 9(x + 19) (11 * 12 + x * 12) = 9(x + 19) (132 + 12x) = 9(x + 19) Reorder the terms: 132 + 12x = 9(19 + x) 132 + 12x = (19 * 9 + x * 9) 132 + 12x = (171 + 9x) Solving 132 + 12x = 171 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 132 + 12x + -9x = 171 + 9x + -9x Combine like terms: 12x + -9x = 3x 132 + 3x = 171 + 9x + -9x Combine like terms: 9x + -9x = 0 132 + 3x = 171 + 0 132 + 3x = 171 Add '-132' to each side of the equation. 132 + -132 + 3x = 171 + -132 Combine like terms: 132 + -132 = 0 0 + 3x = 171 + -132 3x = 171 + -132 Combine like terms: 171 + -132 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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