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Simplifying 16 + 0.5x + -1.5x = 2(x + 5) Combine like terms: 0.5x + -1.5x = -1x 16 + -1x = 2(x + 5) Reorder the terms: 16 + -1x = 2(5 + x) 16 + -1x = (5 * 2 + x * 2) 16 + -1x = (10 + 2x) Solving 16 + -1x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + -1x + -2x = 10 + 2x + -2x Combine like terms: -1x + -2x = -3x 16 + -3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -3x = 10 + 0 16 + -3x = 10 Add '-16' to each side of the equation. 16 + -16 + -3x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 10 + -16 -3x = 10 + -16 Combine like terms: 10 + -16 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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