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Simplifying 0.25x + 0.10(2x + -4) + (2 + 5x) * 0.5 = 8.8 Reorder the terms: 0.25x + 0.10(-4 + 2x) + (2 + 5x) * 0.5 = 8.8 0.25x + (-4 * 0.10 + 2x * 0.10) + (2 + 5x) * 0.5 = 8.8 0.25x + (-0.4 + 0.2x) + (2 + 5x) * 0.5 = 8.8 Reorder the terms for easier multiplication: 0.25x + -0.4 + 0.2x + 0.5(2 + 5x) = 8.8 0.25x + -0.4 + 0.2x + (2 * 0.5 + 5x * 0.5) = 8.8 0.25x + -0.4 + 0.2x + (1 + 2.5x) = 8.8 Reorder the terms: -0.4 + 1 + 0.25x + 0.2x + 2.5x = 8.8 Combine like terms: -0.4 + 1 = 0.6 0.6 + 0.25x + 0.2x + 2.5x = 8.8 Combine like terms: 0.25x + 0.2x = 0.45x 0.6 + 0.45x + 2.5x = 8.8 Combine like terms: 0.45x + 2.5x = 2.95x 0.6 + 2.95x = 8.8 Solving 0.6 + 2.95x = 8.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 2.95x = 8.8 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 2.95x = 8.8 + -0.6 2.95x = 8.8 + -0.6 Combine like terms: 8.8 + -0.6 = 8.2 2.95x = 8.2 Divide each side by '2.95'. x = 2.779661017 Simplifying x = 2.779661017
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