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Simplifying 6(3x + 2) = 7(x + 5) + 15 Reorder the terms: 6(2 + 3x) = 7(x + 5) + 15 (2 * 6 + 3x * 6) = 7(x + 5) + 15 (12 + 18x) = 7(x + 5) + 15 Reorder the terms: 12 + 18x = 7(5 + x) + 15 12 + 18x = (5 * 7 + x * 7) + 15 12 + 18x = (35 + 7x) + 15 Reorder the terms: 12 + 18x = 35 + 15 + 7x Combine like terms: 35 + 15 = 50 12 + 18x = 50 + 7x Solving 12 + 18x = 50 + 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. 12 + 18x + -7x = 50 + 7x + -7x Combine like terms: 18x + -7x = 11x 12 + 11x = 50 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 11x = 50 + 0 12 + 11x = 50 Add '-12' to each side of the equation. 12 + -12 + 11x = 50 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 50 + -12 11x = 50 + -12 Combine like terms: 50 + -12 = 38 11x = 38 Divide each side by '11'. x = 3.454545455 Simplifying x = 3.454545455
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