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Simplifying 16 + 0.55x = 0.75(x + 20) Reorder the terms: 16 + 0.55x = 0.75(20 + x) 16 + 0.55x = (20 * 0.75 + x * 0.75) 16 + 0.55x = (15 + 0.75x) Solving 16 + 0.55x = 15 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 16 + 0.55x + -0.75x = 15 + 0.75x + -0.75x Combine like terms: 0.55x + -0.75x = -0.2x 16 + -0.2x = 15 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 16 + -0.2x = 15 + 0.00 16 + -0.2x = 15 Add '-16' to each side of the equation. 16 + -16 + -0.2x = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -0.2x = 15 + -16 -0.2x = 15 + -16 Combine like terms: 15 + -16 = -1 -0.2x = -1 Divide each side by '-0.2'. x = 5 Simplifying x = 5
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