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Simplifying 0.375(x + 8) = 0.75(x + 5) + 0.125 Reorder the terms: 0.375(8 + x) = 0.75(x + 5) + 0.125 (8 * 0.375 + x * 0.375) = 0.75(x + 5) + 0.125 (3 + 0.375x) = 0.75(x + 5) + 0.125 Reorder the terms: 3 + 0.375x = 0.75(5 + x) + 0.125 3 + 0.375x = (5 * 0.75 + x * 0.75) + 0.125 3 + 0.375x = (3.75 + 0.75x) + 0.125 Reorder the terms: 3 + 0.375x = 3.75 + 0.125 + 0.75x Combine like terms: 3.75 + 0.125 = 3.875 3 + 0.375x = 3.875 + 0.75x Solving 3 + 0.375x = 3.875 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 3 + 0.375x + -0.75x = 3.875 + 0.75x + -0.75x Combine like terms: 0.375x + -0.75x = -0.375x 3 + -0.375x = 3.875 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + -0.375x = 3.875 + 0.00 3 + -0.375x = 3.875 Add '-3' to each side of the equation. 3 + -3 + -0.375x = 3.875 + -3 Combine like terms: 3 + -3 = 0 0 + -0.375x = 3.875 + -3 -0.375x = 3.875 + -3 Combine like terms: 3.875 + -3 = 0.875 -0.375x = 0.875 Divide each side by '-0.375'. x = -2.333333333 Simplifying x = -2.333333333
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