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Simplifying 0.67(9 + x) = -5(4 + -1x) (9 * 0.67 + x * 0.67) = -5(4 + -1x) (6.03 + 0.67x) = -5(4 + -1x) 6.03 + 0.67x = (4 * -5 + -1x * -5) 6.03 + 0.67x = (-20 + 5x) Solving 6.03 + 0.67x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6.03 + 0.67x + -5x = -20 + 5x + -5x Combine like terms: 0.67x + -5x = -4.33x 6.03 + -4.33x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 6.03 + -4.33x = -20 + 0 6.03 + -4.33x = -20 Add '-6.03' to each side of the equation. 6.03 + -6.03 + -4.33x = -20 + -6.03 Combine like terms: 6.03 + -6.03 = 0.00 0.00 + -4.33x = -20 + -6.03 -4.33x = -20 + -6.03 Combine like terms: -20 + -6.03 = -26.03 -4.33x = -26.03 Divide each side by '-4.33'. x = 6.011547344 Simplifying x = 6.011547344
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