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Simplifying 0.33(x + -2) + -1 = 0.25(x + -3) Reorder the terms: 0.33(-2 + x) + -1 = 0.25(x + -3) (-2 * 0.33 + x * 0.33) + -1 = 0.25(x + -3) (-0.66 + 0.33x) + -1 = 0.25(x + -3) Reorder the terms: -0.66 + -1 + 0.33x = 0.25(x + -3) Combine like terms: -0.66 + -1 = -1.66 -1.66 + 0.33x = 0.25(x + -3) Reorder the terms: -1.66 + 0.33x = 0.25(-3 + x) -1.66 + 0.33x = (-3 * 0.25 + x * 0.25) -1.66 + 0.33x = (-0.75 + 0.25x) Solving -1.66 + 0.33x = -0.75 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -1.66 + 0.33x + -0.25x = -0.75 + 0.25x + -0.25x Combine like terms: 0.33x + -0.25x = 0.08x -1.66 + 0.08x = -0.75 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -1.66 + 0.08x = -0.75 + 0.00 -1.66 + 0.08x = -0.75 Add '1.66' to each side of the equation. -1.66 + 1.66 + 0.08x = -0.75 + 1.66 Combine like terms: -1.66 + 1.66 = 0.00 0.00 + 0.08x = -0.75 + 1.66 0.08x = -0.75 + 1.66 Combine like terms: -0.75 + 1.66 = 0.91 0.08x = 0.91 Divide each side by '0.08'. x = 11.375 Simplifying x = 11.375
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