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Simplifying 0.45 = 16.95 + -0.25(75 + -3x) 0.45 = 16.95 + (75 * -0.25 + -3x * -0.25) 0.45 = 16.95 + (-18.75 + 0.75x) Combine like terms: 16.95 + -18.75 = -1.8 0.45 = -1.8 + 0.75x Solving 0.45 = -1.8 + 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. 0.45 + -0.75x = -1.8 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.45 + -0.75x = -1.8 + 0.00 0.45 + -0.75x = -1.8 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -0.75x = -1.8 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -0.75x = -1.8 + -0.45 -0.75x = -1.8 + -0.45 Combine like terms: -1.8 + -0.45 = -2.25 -0.75x = -2.25 Divide each side by '-0.75'. x = 3 Simplifying x = 3
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