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Simplifying 6(3x + 4) = 7(x + 3) + 2 Reorder the terms: 6(4 + 3x) = 7(x + 3) + 2 (4 * 6 + 3x * 6) = 7(x + 3) + 2 (24 + 18x) = 7(x + 3) + 2 Reorder the terms: 24 + 18x = 7(3 + x) + 2 24 + 18x = (3 * 7 + x * 7) + 2 24 + 18x = (21 + 7x) + 2 Reorder the terms: 24 + 18x = 21 + 2 + 7x Combine like terms: 21 + 2 = 23 24 + 18x = 23 + 7x Solving 24 + 18x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + 18x + -7x = 23 + 7x + -7x Combine like terms: 18x + -7x = 11x 24 + 11x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 11x = 23 + 0 24 + 11x = 23 Add '-24' to each side of the equation. 24 + -24 + 11x = 23 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = 23 + -24 11x = 23 + -24 Combine like terms: 23 + -24 = -1 11x = -1 Divide each side by '11'. x = -0.09090909091 Simplifying x = -0.09090909091
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