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Simplifying 7(3x + 3) = 6(6x + 2) + 6 Reorder the terms: 7(3 + 3x) = 6(6x + 2) + 6 (3 * 7 + 3x * 7) = 6(6x + 2) + 6 (21 + 21x) = 6(6x + 2) + 6 Reorder the terms: 21 + 21x = 6(2 + 6x) + 6 21 + 21x = (2 * 6 + 6x * 6) + 6 21 + 21x = (12 + 36x) + 6 Reorder the terms: 21 + 21x = 12 + 6 + 36x Combine like terms: 12 + 6 = 18 21 + 21x = 18 + 36x Solving 21 + 21x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 21 + 21x + -36x = 18 + 36x + -36x Combine like terms: 21x + -36x = -15x 21 + -15x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 21 + -15x = 18 + 0 21 + -15x = 18 Add '-21' to each side of the equation. 21 + -21 + -15x = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = 18 + -21 -15x = 18 + -21 Combine like terms: 18 + -21 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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