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Simplifying 0.33(x + -6) = 3x + -2(x + -1) + 9.33 Reorder the terms: 0.33(-6 + x) = 3x + -2(x + -1) + 9.33 (-6 * 0.33 + x * 0.33) = 3x + -2(x + -1) + 9.33 (-1.98 + 0.33x) = 3x + -2(x + -1) + 9.33 Reorder the terms: -1.98 + 0.33x = 3x + -2(-1 + x) + 9.33 -1.98 + 0.33x = 3x + (-1 * -2 + x * -2) + 9.33 -1.98 + 0.33x = 3x + (2 + -2x) + 9.33 Reorder the terms: -1.98 + 0.33x = 2 + 9.33 + 3x + -2x Combine like terms: 2 + 9.33 = 11.33 -1.98 + 0.33x = 11.33 + 3x + -2x Combine like terms: 3x + -2x = 1x -1.98 + 0.33x = 11.33 + 1x Solving -1.98 + 0.33x = 11.33 + 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. -1.98 + 0.33x + -1x = 11.33 + 1x + -1x Combine like terms: 0.33x + -1x = -0.67x -1.98 + -0.67x = 11.33 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.98 + -0.67x = 11.33 + 0 -1.98 + -0.67x = 11.33 Add '1.98' to each side of the equation. -1.98 + 1.98 + -0.67x = 11.33 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + -0.67x = 11.33 + 1.98 -0.67x = 11.33 + 1.98 Combine like terms: 11.33 + 1.98 = 13.31 -0.67x = 13.31 Divide each side by '-0.67'. x = -19.86567164 Simplifying x = -19.86567164
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