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Simplifying 0.45 = 16.95 + -0.25(76 + -2x) 0.45 = 16.95 + (76 * -0.25 + -2x * -0.25) 0.45 = 16.95 + (-19 + 0.5x) Combine like terms: 16.95 + -19 = -2.05 0.45 = -2.05 + 0.5x Solving 0.45 = -2.05 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.45 + -0.5x = -2.05 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.45 + -0.5x = -2.05 + 0.0 0.45 + -0.5x = -2.05 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -0.5x = -2.05 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -0.5x = -2.05 + -0.45 -0.5x = -2.05 + -0.45 Combine like terms: -2.05 + -0.45 = -2.5 -0.5x = -2.5 Divide each side by '-0.5'. x = 5 Simplifying x = 5
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