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Simplifying (6 + 3)(3 + 3x) = 35 + -2.5(x + 5) Combine like terms: 6 + 3 = 9 (9)(3 + 3x) = 35 + -2.5(x + 5) (3 * 9 + 3x * 9) = 35 + -2.5(x + 5) (27 + 27x) = 35 + -2.5(x + 5) Reorder the terms: 27 + 27x = 35 + -2.5(5 + x) 27 + 27x = 35 + (5 * -2.5 + x * -2.5) 27 + 27x = 35 + (-12.5 + -2.5x) Combine like terms: 35 + -12.5 = 22.5 27 + 27x = 22.5 + -2.5x Solving 27 + 27x = 22.5 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 27 + 27x + 2.5x = 22.5 + -2.5x + 2.5x Combine like terms: 27x + 2.5x = 29.5x 27 + 29.5x = 22.5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 27 + 29.5x = 22.5 + 0.0 27 + 29.5x = 22.5 Add '-27' to each side of the equation. 27 + -27 + 29.5x = 22.5 + -27 Combine like terms: 27 + -27 = 0 0 + 29.5x = 22.5 + -27 29.5x = 22.5 + -27 Combine like terms: 22.5 + -27 = -4.5 29.5x = -4.5 Divide each side by '29.5'. x = -0.1525423729 Simplifying x = -0.1525423729
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