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Simplifying 7(4x + 3) = 9(x + 5) + -7 Reorder the terms: 7(3 + 4x) = 9(x + 5) + -7 (3 * 7 + 4x * 7) = 9(x + 5) + -7 (21 + 28x) = 9(x + 5) + -7 Reorder the terms: 21 + 28x = 9(5 + x) + -7 21 + 28x = (5 * 9 + x * 9) + -7 21 + 28x = (45 + 9x) + -7 Reorder the terms: 21 + 28x = 45 + -7 + 9x Combine like terms: 45 + -7 = 38 21 + 28x = 38 + 9x Solving 21 + 28x = 38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 28x + -9x = 38 + 9x + -9x Combine like terms: 28x + -9x = 19x 21 + 19x = 38 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + 19x = 38 + 0 21 + 19x = 38 Add '-21' to each side of the equation. 21 + -21 + 19x = 38 + -21 Combine like terms: 21 + -21 = 0 0 + 19x = 38 + -21 19x = 38 + -21 Combine like terms: 38 + -21 = 17 19x = 17 Divide each side by '19'. x = 0.8947368421 Simplifying x = 0.8947368421
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