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Simplifying 0.5(2x + 0.75) + -0.333(0.1 + x) = 1 Reorder the terms: 0.5(0.75 + 2x) + -0.333(0.1 + x) = 1 (0.75 * 0.5 + 2x * 0.5) + -0.333(0.1 + x) = 1 (0.375 + 1x) + -0.333(0.1 + x) = 1 0.375 + 1x + (0.1 * -0.333 + x * -0.333) = 1 0.375 + 1x + (-0.0333 + -0.333x) = 1 Reorder the terms: 0.375 + -0.0333 + 1x + -0.333x = 1 Combine like terms: 0.375 + -0.0333 = 0.3417 0.3417 + 1x + -0.333x = 1 Combine like terms: 1x + -0.333x = 0.667x 0.3417 + 0.667x = 1 Solving 0.3417 + 0.667x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3417' to each side of the equation. 0.3417 + -0.3417 + 0.667x = 1 + -0.3417 Combine like terms: 0.3417 + -0.3417 = 0.0000 0.0000 + 0.667x = 1 + -0.3417 0.667x = 1 + -0.3417 Combine like terms: 1 + -0.3417 = 0.6583 0.667x = 0.6583 Divide each side by '0.667'. x = 0.9869565217 Simplifying x = 0.9869565217
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