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Simplifying 0.10x + 0.25(24 + -1x) = 4.5 0.10x + (24 * 0.25 + -1x * 0.25) = 4.5 0.10x + (6 + -0.25x) = 4.5 Reorder the terms: 6 + 0.10x + -0.25x = 4.5 Combine like terms: 0.10x + -0.25x = -0.15x 6 + -0.15x = 4.5 Solving 6 + -0.15x = 4.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -0.15x = 4.5 + -6 Combine like terms: 6 + -6 = 0 0 + -0.15x = 4.5 + -6 -0.15x = 4.5 + -6 Combine like terms: 4.5 + -6 = -1.5 -0.15x = -1.5 Divide each side by '-0.15'. x = 10 Simplifying x = 10
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