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Simplifying 0.33(x + -6) = 4x + -3(x + -1) + 23 Reorder the terms: 0.33(-6 + x) = 4x + -3(x + -1) + 23 (-6 * 0.33 + x * 0.33) = 4x + -3(x + -1) + 23 (-1.98 + 0.33x) = 4x + -3(x + -1) + 23 Reorder the terms: -1.98 + 0.33x = 4x + -3(-1 + x) + 23 -1.98 + 0.33x = 4x + (-1 * -3 + x * -3) + 23 -1.98 + 0.33x = 4x + (3 + -3x) + 23 Reorder the terms: -1.98 + 0.33x = 3 + 23 + 4x + -3x Combine like terms: 3 + 23 = 26 -1.98 + 0.33x = 26 + 4x + -3x Combine like terms: 4x + -3x = 1x -1.98 + 0.33x = 26 + 1x Solving -1.98 + 0.33x = 26 + 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 = 26 + 1x + -1x Combine like terms: 0.33x + -1x = -0.67x -1.98 + -0.67x = 26 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.98 + -0.67x = 26 + 0 -1.98 + -0.67x = 26 Add '1.98' to each side of the equation. -1.98 + 1.98 + -0.67x = 26 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + -0.67x = 26 + 1.98 -0.67x = 26 + 1.98 Combine like terms: 26 + 1.98 = 27.98 -0.67x = 27.98 Divide each side by '-0.67'. x = -41.76119403 Simplifying x = -41.76119403
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