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Simplifying 0.30 = x + 0.3750[x + -0.05] Reorder the terms: 0.30 = x + 0.3750[-0.05 + x] 0.30 = x + [-0.05 * 0.3750 + x * 0.3750] 0.30 = x + [-0.01875 + 0.3750x] Reorder the terms: 0.30 = -0.01875 + x + 0.3750x Combine like terms: x + 0.3750x = 1.375x 0.30 = -0.01875 + 1.375x Solving 0.30 = -0.01875 + 1.375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.375x' to each side of the equation. 0.30 + -1.375x = -0.01875 + 1.375x + -1.375x Combine like terms: 1.375x + -1.375x = 0.000 0.30 + -1.375x = -0.01875 + 0.000 0.30 + -1.375x = -0.01875 Add '-0.30' to each side of the equation. 0.30 + -0.30 + -1.375x = -0.01875 + -0.30 Combine like terms: 0.30 + -0.30 = 0.00 0.00 + -1.375x = -0.01875 + -0.30 -1.375x = -0.01875 + -0.30 Combine like terms: -0.01875 + -0.30 = -0.31875 -1.375x = -0.31875 Divide each side by '-1.375'. x = 0.2318181818 Simplifying x = 0.2318181818
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