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Simplifying 3(2x + 7) + 9 = 7(4x + 6) Reorder the terms: 3(7 + 2x) + 9 = 7(4x + 6) (7 * 3 + 2x * 3) + 9 = 7(4x + 6) (21 + 6x) + 9 = 7(4x + 6) Reorder the terms: 21 + 9 + 6x = 7(4x + 6) Combine like terms: 21 + 9 = 30 30 + 6x = 7(4x + 6) Reorder the terms: 30 + 6x = 7(6 + 4x) 30 + 6x = (6 * 7 + 4x * 7) 30 + 6x = (42 + 28x) Solving 30 + 6x = 42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 30 + 6x + -28x = 42 + 28x + -28x Combine like terms: 6x + -28x = -22x 30 + -22x = 42 + 28x + -28x Combine like terms: 28x + -28x = 0 30 + -22x = 42 + 0 30 + -22x = 42 Add '-30' to each side of the equation. 30 + -30 + -22x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -22x = 42 + -30 -22x = 42 + -30 Combine like terms: 42 + -30 = 12 -22x = 12 Divide each side by '-22'. x = -0.5454545455 Simplifying x = -0.5454545455
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