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Simplifying 1.75 + 0.25(8x + -1) = 13.75 Reorder the terms: 1.75 + 0.25(-1 + 8x) = 13.75 1.75 + (-1 * 0.25 + 8x * 0.25) = 13.75 1.75 + (-0.25 + 2x) = 13.75 Combine like terms: 1.75 + -0.25 = 1.5 1.5 + 2x = 13.75 Solving 1.5 + 2x = 13.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2x = 13.75 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2x = 13.75 + -1.5 2x = 13.75 + -1.5 Combine like terms: 13.75 + -1.5 = 12.25 2x = 12.25 Divide each side by '2'. x = 6.125 Simplifying x = 6.125
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