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Simplifying (5 + 3)(3 + 4x) = 55 + -2.5(x + 3) Combine like terms: 5 + 3 = 8 (8)(3 + 4x) = 55 + -2.5(x + 3) (3 * 8 + 4x * 8) = 55 + -2.5(x + 3) (24 + 32x) = 55 + -2.5(x + 3) Reorder the terms: 24 + 32x = 55 + -2.5(3 + x) 24 + 32x = 55 + (3 * -2.5 + x * -2.5) 24 + 32x = 55 + (-7.5 + -2.5x) Combine like terms: 55 + -7.5 = 47.5 24 + 32x = 47.5 + -2.5x Solving 24 + 32x = 47.5 + -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. 24 + 32x + 2.5x = 47.5 + -2.5x + 2.5x Combine like terms: 32x + 2.5x = 34.5x 24 + 34.5x = 47.5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 24 + 34.5x = 47.5 + 0.0 24 + 34.5x = 47.5 Add '-24' to each side of the equation. 24 + -24 + 34.5x = 47.5 + -24 Combine like terms: 24 + -24 = 0 0 + 34.5x = 47.5 + -24 34.5x = 47.5 + -24 Combine like terms: 47.5 + -24 = 23.5 34.5x = 23.5 Divide each side by '34.5'. x = 0.6811594203 Simplifying x = 0.6811594203
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