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Simplifying 0.25(x + 2) + -0.15(x + 3) = 4 Reorder the terms: 0.25(2 + x) + -0.15(x + 3) = 4 (2 * 0.25 + x * 0.25) + -0.15(x + 3) = 4 (0.5 + 0.25x) + -0.15(x + 3) = 4 Reorder the terms: 0.5 + 0.25x + -0.15(3 + x) = 4 0.5 + 0.25x + (3 * -0.15 + x * -0.15) = 4 0.5 + 0.25x + (-0.45 + -0.15x) = 4 Reorder the terms: 0.5 + -0.45 + 0.25x + -0.15x = 4 Combine like terms: 0.5 + -0.45 = 0.05 0.05 + 0.25x + -0.15x = 4 Combine like terms: 0.25x + -0.15x = 0.1x 0.05 + 0.1x = 4 Solving 0.05 + 0.1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05' to each side of the equation. 0.05 + -0.05 + 0.1x = 4 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.1x = 4 + -0.05 0.1x = 4 + -0.05 Combine like terms: 4 + -0.05 = 3.95 0.1x = 3.95 Divide each side by '0.1'. x = 39.5 Simplifying x = 39.5
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