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Simplifying 0.33(x + -1) = 5x + -4(x + -1) + 1.66 Reorder the terms: 0.33(-1 + x) = 5x + -4(x + -1) + 1.66 (-1 * 0.33 + x * 0.33) = 5x + -4(x + -1) + 1.66 (-0.33 + 0.33x) = 5x + -4(x + -1) + 1.66 Reorder the terms: -0.33 + 0.33x = 5x + -4(-1 + x) + 1.66 -0.33 + 0.33x = 5x + (-1 * -4 + x * -4) + 1.66 -0.33 + 0.33x = 5x + (4 + -4x) + 1.66 Reorder the terms: -0.33 + 0.33x = 4 + 1.66 + 5x + -4x Combine like terms: 4 + 1.66 = 5.66 -0.33 + 0.33x = 5.66 + 5x + -4x Combine like terms: 5x + -4x = 1x -0.33 + 0.33x = 5.66 + 1x Solving -0.33 + 0.33x = 5.66 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.33 + 0.33x + -1x = 5.66 + 1x + -1x Combine like terms: 0.33x + -1x = -0.67x -0.33 + -0.67x = 5.66 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.33 + -0.67x = 5.66 + 0 -0.33 + -0.67x = 5.66 Add '0.33' to each side of the equation. -0.33 + 0.33 + -0.67x = 5.66 + 0.33 Combine like terms: -0.33 + 0.33 = 0.00 0.00 + -0.67x = 5.66 + 0.33 -0.67x = 5.66 + 0.33 Combine like terms: 5.66 + 0.33 = 5.99 -0.67x = 5.99 Divide each side by '-0.67'. x = -8.940298507 Simplifying x = -8.940298507
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