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Simplifying x + -3.5x + 1.25 = -0.83(x + -0.3) Reorder the terms: 1.25 + x + -3.5x = -0.83(x + -0.3) Combine like terms: x + -3.5x = -2.5x 1.25 + -2.5x = -0.83(x + -0.3) Reorder the terms: 1.25 + -2.5x = -0.83(-0.3 + x) 1.25 + -2.5x = (-0.3 * -0.83 + x * -0.83) 1.25 + -2.5x = (0.249 + -0.83x) Solving 1.25 + -2.5x = 0.249 + -0.83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.83x' to each side of the equation. 1.25 + -2.5x + 0.83x = 0.249 + -0.83x + 0.83x Combine like terms: -2.5x + 0.83x = -1.67x 1.25 + -1.67x = 0.249 + -0.83x + 0.83x Combine like terms: -0.83x + 0.83x = 0.00 1.25 + -1.67x = 0.249 + 0.00 1.25 + -1.67x = 0.249 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -1.67x = 0.249 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1.67x = 0.249 + -1.25 -1.67x = 0.249 + -1.25 Combine like terms: 0.249 + -1.25 = -1.001 -1.67x = -1.001 Divide each side by '-1.67'. x = 0.5994011976 Simplifying x = 0.5994011976
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