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Simplifying (5 + 6)(4 + 6x) = 55 + -2.5(x + 4) Combine like terms: 5 + 6 = 11 (11)(4 + 6x) = 55 + -2.5(x + 4) (4 * 11 + 6x * 11) = 55 + -2.5(x + 4) (44 + 66x) = 55 + -2.5(x + 4) Reorder the terms: 44 + 66x = 55 + -2.5(4 + x) 44 + 66x = 55 + (4 * -2.5 + x * -2.5) 44 + 66x = 55 + (-10 + -2.5x) Combine like terms: 55 + -10 = 45 44 + 66x = 45 + -2.5x Solving 44 + 66x = 45 + -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. 44 + 66x + 2.5x = 45 + -2.5x + 2.5x Combine like terms: 66x + 2.5x = 68.5x 44 + 68.5x = 45 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 44 + 68.5x = 45 + 0.0 44 + 68.5x = 45 Add '-44' to each side of the equation. 44 + -44 + 68.5x = 45 + -44 Combine like terms: 44 + -44 = 0 0 + 68.5x = 45 + -44 68.5x = 45 + -44 Combine like terms: 45 + -44 = 1 68.5x = 1 Divide each side by '68.5'. x = 0.01459854015 Simplifying x = 0.01459854015
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