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Simplifying (2 + 4)(2 + 1x) = 20 + -1.5(x + 2) Combine like terms: 2 + 4 = 6 (6)(2 + 1x) = 20 + -1.5(x + 2) (2 * 6 + 1x * 6) = 20 + -1.5(x + 2) (12 + 6x) = 20 + -1.5(x + 2) Reorder the terms: 12 + 6x = 20 + -1.5(2 + x) 12 + 6x = 20 + (2 * -1.5 + x * -1.5) 12 + 6x = 20 + (-3 + -1.5x) Combine like terms: 20 + -3 = 17 12 + 6x = 17 + -1.5x Solving 12 + 6x = 17 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 12 + 6x + 1.5x = 17 + -1.5x + 1.5x Combine like terms: 6x + 1.5x = 7.5x 12 + 7.5x = 17 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 12 + 7.5x = 17 + 0.0 12 + 7.5x = 17 Add '-12' to each side of the equation. 12 + -12 + 7.5x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 7.5x = 17 + -12 7.5x = 17 + -12 Combine like terms: 17 + -12 = 5 7.5x = 5 Divide each side by '7.5'. x = 0.6666666667 Simplifying x = 0.6666666667
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