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Simplifying (4 + 2)(2 + 4x) = 20 + -5.5(x + 2) Combine like terms: 4 + 2 = 6 (6)(2 + 4x) = 20 + -5.5(x + 2) (2 * 6 + 4x * 6) = 20 + -5.5(x + 2) (12 + 24x) = 20 + -5.5(x + 2) Reorder the terms: 12 + 24x = 20 + -5.5(2 + x) 12 + 24x = 20 + (2 * -5.5 + x * -5.5) 12 + 24x = 20 + (-11 + -5.5x) Combine like terms: 20 + -11 = 9 12 + 24x = 9 + -5.5x Solving 12 + 24x = 9 + -5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5x' to each side of the equation. 12 + 24x + 5.5x = 9 + -5.5x + 5.5x Combine like terms: 24x + 5.5x = 29.5x 12 + 29.5x = 9 + -5.5x + 5.5x Combine like terms: -5.5x + 5.5x = 0.0 12 + 29.5x = 9 + 0.0 12 + 29.5x = 9 Add '-12' to each side of the equation. 12 + -12 + 29.5x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 29.5x = 9 + -12 29.5x = 9 + -12 Combine like terms: 9 + -12 = -3 29.5x = -3 Divide each side by '29.5'. x = -0.1016949153 Simplifying x = -0.1016949153
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