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Simplifying 0.666(x + -2) + 0.75 = 1.25(2x + 3) Reorder the terms: 0.666(-2 + x) + 0.75 = 1.25(2x + 3) (-2 * 0.666 + x * 0.666) + 0.75 = 1.25(2x + 3) (-1.332 + 0.666x) + 0.75 = 1.25(2x + 3) Reorder the terms: -1.332 + 0.75 + 0.666x = 1.25(2x + 3) Combine like terms: -1.332 + 0.75 = -0.582 -0.582 + 0.666x = 1.25(2x + 3) Reorder the terms: -0.582 + 0.666x = 1.25(3 + 2x) -0.582 + 0.666x = (3 * 1.25 + 2x * 1.25) -0.582 + 0.666x = (3.75 + 2.5x) Solving -0.582 + 0.666x = 3.75 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -0.582 + 0.666x + -2.5x = 3.75 + 2.5x + -2.5x Combine like terms: 0.666x + -2.5x = -1.834x -0.582 + -1.834x = 3.75 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -0.582 + -1.834x = 3.75 + 0.0 -0.582 + -1.834x = 3.75 Add '0.582' to each side of the equation. -0.582 + 0.582 + -1.834x = 3.75 + 0.582 Combine like terms: -0.582 + 0.582 = 0.000 0.000 + -1.834x = 3.75 + 0.582 -1.834x = 3.75 + 0.582 Combine like terms: 3.75 + 0.582 = 4.332 -1.834x = 4.332 Divide each side by '-1.834'. x = -2.362050164 Simplifying x = -2.362050164
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