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Simplifying (3x + 18) * 2 = 6x * 7 Reorder the terms: (18 + 3x) * 2 = 6x * 7 Reorder the terms for easier multiplication: 2(18 + 3x) = 6x * 7 (18 * 2 + 3x * 2) = 6x * 7 (36 + 6x) = 6x * 7 Reorder the terms for easier multiplication: 36 + 6x = 6 * 7x Multiply 6 * 7 36 + 6x = 42x Solving 36 + 6x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 36 + 6x + -42x = 42x + -42x Combine like terms: 6x + -42x = -36x 36 + -36x = 42x + -42x Combine like terms: 42x + -42x = 0 36 + -36x = 0 Add '-36' to each side of the equation. 36 + -36 + -36x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -36x = 0 + -36 -36x = 0 + -36 Combine like terms: 0 + -36 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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