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Simplifying (4 + 3)(2 + 8x) = 40 + -4.5(x + 4) Combine like terms: 4 + 3 = 7 (7)(2 + 8x) = 40 + -4.5(x + 4) (2 * 7 + 8x * 7) = 40 + -4.5(x + 4) (14 + 56x) = 40 + -4.5(x + 4) Reorder the terms: 14 + 56x = 40 + -4.5(4 + x) 14 + 56x = 40 + (4 * -4.5 + x * -4.5) 14 + 56x = 40 + (-18 + -4.5x) Combine like terms: 40 + -18 = 22 14 + 56x = 22 + -4.5x Solving 14 + 56x = 22 + -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. 14 + 56x + 4.5x = 22 + -4.5x + 4.5x Combine like terms: 56x + 4.5x = 60.5x 14 + 60.5x = 22 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 14 + 60.5x = 22 + 0.0 14 + 60.5x = 22 Add '-14' to each side of the equation. 14 + -14 + 60.5x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 60.5x = 22 + -14 60.5x = 22 + -14 Combine like terms: 22 + -14 = 8 60.5x = 8 Divide each side by '60.5'. x = 0.132231405 Simplifying x = 0.132231405
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