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Simplifying 2.5(x + 3) + 5.5 + 1.5(x + -2) = 16 Reorder the terms: 2.5(3 + x) + 5.5 + 1.5(x + -2) = 16 (3 * 2.5 + x * 2.5) + 5.5 + 1.5(x + -2) = 16 (7.5 + 2.5x) + 5.5 + 1.5(x + -2) = 16 Reorder the terms: 7.5 + 2.5x + 5.5 + 1.5(-2 + x) = 16 7.5 + 2.5x + 5.5 + (-2 * 1.5 + x * 1.5) = 16 7.5 + 2.5x + 5.5 + (-3 + 1.5x) = 16 Reorder the terms: 7.5 + 5.5 + -3 + 2.5x + 1.5x = 16 Combine like terms: 7.5 + 5.5 = 13 13 + -3 + 2.5x + 1.5x = 16 Combine like terms: 13 + -3 = 10 10 + 2.5x + 1.5x = 16 Combine like terms: 2.5x + 1.5x = 4x 10 + 4x = 16 Solving 10 + 4x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 16 + -10 4x = 16 + -10 Combine like terms: 16 + -10 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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