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Simplifying 0.25(X + 3) = 8X + -11(1 + -1X) + -7 Reorder the terms: 0.25(3 + X) = 8X + -11(1 + -1X) + -7 (3 * 0.25 + X * 0.25) = 8X + -11(1 + -1X) + -7 (0.75 + 0.25X) = 8X + -11(1 + -1X) + -7 0.75 + 0.25X = 8X + (1 * -11 + -1X * -11) + -7 0.75 + 0.25X = 8X + (-11 + 11X) + -7 Reorder the terms: 0.75 + 0.25X = -11 + -7 + 8X + 11X Combine like terms: -11 + -7 = -18 0.75 + 0.25X = -18 + 8X + 11X Combine like terms: 8X + 11X = 19X 0.75 + 0.25X = -18 + 19X Solving 0.75 + 0.25X = -18 + 19X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-19X' to each side of the equation. 0.75 + 0.25X + -19X = -18 + 19X + -19X Combine like terms: 0.25X + -19X = -18.75X 0.75 + -18.75X = -18 + 19X + -19X Combine like terms: 19X + -19X = 0 0.75 + -18.75X = -18 + 0 0.75 + -18.75X = -18 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -18.75X = -18 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -18.75X = -18 + -0.75 -18.75X = -18 + -0.75 Combine like terms: -18 + -0.75 = -18.75 -18.75X = -18.75 Divide each side by '-18.75'. X = 1 Simplifying X = 1
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