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Simplifying (0.5)(x + 6)(18) = (x + 11)(6) Reorder the terms: 0.5(6 + x)(18) = (x + 11)(6) Reorder the terms for easier multiplication: 0.5 * 18(6 + x) = (x + 11)(6) Multiply 0.5 * 18 9(6 + x) = (x + 11)(6) (6 * 9 + x * 9) = (x + 11)(6) (54 + 9x) = (x + 11)(6) Reorder the terms: 54 + 9x = (11 + x)(6) Reorder the terms for easier multiplication: 54 + 9x = 6(11 + x) 54 + 9x = (11 * 6 + x * 6) 54 + 9x = (66 + 6x) Solving 54 + 9x = 66 + 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. 54 + 9x + -6x = 66 + 6x + -6x Combine like terms: 9x + -6x = 3x 54 + 3x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 54 + 3x = 66 + 0 54 + 3x = 66 Add '-54' to each side of the equation. 54 + -54 + 3x = 66 + -54 Combine like terms: 54 + -54 = 0 0 + 3x = 66 + -54 3x = 66 + -54 Combine like terms: 66 + -54 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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