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Simplifying 0.5(2x + 0.75) + -0.75(0.1 + x) = 1 Reorder the terms: 0.5(0.75 + 2x) + -0.75(0.1 + x) = 1 (0.75 * 0.5 + 2x * 0.5) + -0.75(0.1 + x) = 1 (0.375 + 1x) + -0.75(0.1 + x) = 1 0.375 + 1x + (0.1 * -0.75 + x * -0.75) = 1 0.375 + 1x + (-0.075 + -0.75x) = 1 Reorder the terms: 0.375 + -0.075 + 1x + -0.75x = 1 Combine like terms: 0.375 + -0.075 = 0.3 0.3 + 1x + -0.75x = 1 Combine like terms: 1x + -0.75x = 0.25x 0.3 + 0.25x = 1 Solving 0.3 + 0.25x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.25x = 1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.25x = 1 + -0.3 0.25x = 1 + -0.3 Combine like terms: 1 + -0.3 = 0.7 0.25x = 0.7 Divide each side by '0.25'. x = 2.8 Simplifying x = 2.8
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