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Simplifying 1.5 + -0.25(x + 4) = 3 + 3(0.05 + -0.5a) Reorder the terms: 1.5 + -0.25(4 + x) = 3 + 3(0.05 + -0.5a) 1.5 + (4 * -0.25 + x * -0.25) = 3 + 3(0.05 + -0.5a) 1.5 + (-1 + -0.25x) = 3 + 3(0.05 + -0.5a) Combine like terms: 1.5 + -1 = 0.5 0.5 + -0.25x = 3 + 3(0.05 + -0.5a) 0.5 + -0.25x = 3 + (0.05 * 3 + -0.5a * 3) 0.5 + -0.25x = 3 + (0.15 + -1.5a) Combine like terms: 3 + 0.15 = 3.15 0.5 + -0.25x = 3.15 + -1.5a Solving 0.5 + -0.25x = 3.15 + -1.5a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.25x = 3.15 + -0.5 + -1.5a Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.25x = 3.15 + -0.5 + -1.5a -0.25x = 3.15 + -0.5 + -1.5a Combine like terms: 3.15 + -0.5 = 2.65 -0.25x = 2.65 + -1.5a Divide each side by '-0.25'. x = -10.6 + 6a Simplifying x = -10.6 + 6a
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