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Simplifying 3.6(2x + -7.5) = 4.2(2 + -2.5x) Reorder the terms: 3.6(-7.5 + 2x) = 4.2(2 + -2.5x) (-7.5 * 3.6 + 2x * 3.6) = 4.2(2 + -2.5x) (-27 + 7.2x) = 4.2(2 + -2.5x) -27 + 7.2x = (2 * 4.2 + -2.5x * 4.2) -27 + 7.2x = (8.4 + -10.5x) Solving -27 + 7.2x = 8.4 + -10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5x' to each side of the equation. -27 + 7.2x + 10.5x = 8.4 + -10.5x + 10.5x Combine like terms: 7.2x + 10.5x = 17.7x -27 + 17.7x = 8.4 + -10.5x + 10.5x Combine like terms: -10.5x + 10.5x = 0.0 -27 + 17.7x = 8.4 + 0.0 -27 + 17.7x = 8.4 Add '27' to each side of the equation. -27 + 27 + 17.7x = 8.4 + 27 Combine like terms: -27 + 27 = 0 0 + 17.7x = 8.4 + 27 17.7x = 8.4 + 27 Combine like terms: 8.4 + 27 = 35.4 17.7x = 35.4 Divide each side by '17.7'. x = 2 Simplifying x = 2
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