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Simplifying (3 + 4)(3 + 4x) = 55 + -4.5(x + 5) Combine like terms: 3 + 4 = 7 (7)(3 + 4x) = 55 + -4.5(x + 5) (3 * 7 + 4x * 7) = 55 + -4.5(x + 5) (21 + 28x) = 55 + -4.5(x + 5) Reorder the terms: 21 + 28x = 55 + -4.5(5 + x) 21 + 28x = 55 + (5 * -4.5 + x * -4.5) 21 + 28x = 55 + (-22.5 + -4.5x) Combine like terms: 55 + -22.5 = 32.5 21 + 28x = 32.5 + -4.5x Solving 21 + 28x = 32.5 + -4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5x' to each side of the equation. 21 + 28x + 4.5x = 32.5 + -4.5x + 4.5x Combine like terms: 28x + 4.5x = 32.5x 21 + 32.5x = 32.5 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 21 + 32.5x = 32.5 + 0.0 21 + 32.5x = 32.5 Add '-21' to each side of the equation. 21 + -21 + 32.5x = 32.5 + -21 Combine like terms: 21 + -21 = 0 0 + 32.5x = 32.5 + -21 32.5x = 32.5 + -21 Combine like terms: 32.5 + -21 = 11.5 32.5x = 11.5 Divide each side by '32.5'. x = 0.3538461538 Simplifying x = 0.3538461538
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