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Simplifying 1.5(x + 6) + -0.5(x + -24) = 16 Reorder the terms: 1.5(6 + x) + -0.5(x + -24) = 16 (6 * 1.5 + x * 1.5) + -0.5(x + -24) = 16 (9 + 1.5x) + -0.5(x + -24) = 16 Reorder the terms: 9 + 1.5x + -0.5(-24 + x) = 16 9 + 1.5x + (-24 * -0.5 + x * -0.5) = 16 9 + 1.5x + (12 + -0.5x) = 16 Reorder the terms: 9 + 12 + 1.5x + -0.5x = 16 Combine like terms: 9 + 12 = 21 21 + 1.5x + -0.5x = 16 Combine like terms: 1.5x + -0.5x = 1x 21 + 1x = 16 Solving 21 + 1x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1x = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 16 + -21 1x = 16 + -21 Combine like terms: 16 + -21 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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