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Simplifying 3.5(2 + 1.8) + -2(3.2x + 5) = 8.9 Combine like terms: 2 + 1.8 = 3.8 3.5(3.8) + -2(3.2x + 5) = 8.9 Multiply 3.5 * 3.8 13.3 + -2(3.2x + 5) = 8.9 Reorder the terms: 13.3 + -2(5 + 3.2x) = 8.9 13.3 + (5 * -2 + 3.2x * -2) = 8.9 13.3 + (-10 + -6.4x) = 8.9 Combine like terms: 13.3 + -10 = 3.3 3.3 + -6.4x = 8.9 Solving 3.3 + -6.4x = 8.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3' to each side of the equation. 3.3 + -3.3 + -6.4x = 8.9 + -3.3 Combine like terms: 3.3 + -3.3 = 0.0 0.0 + -6.4x = 8.9 + -3.3 -6.4x = 8.9 + -3.3 Combine like terms: 8.9 + -3.3 = 5.6 -6.4x = 5.6 Divide each side by '-6.4'. x = -0.875 Simplifying x = -0.875
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