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Simplifying 0.5(6 + -18x) = 0.33(21 + -12x) (6 * 0.5 + -18x * 0.5) = 0.33(21 + -12x) (3 + -9x) = 0.33(21 + -12x) 3 + -9x = (21 * 0.33 + -12x * 0.33) 3 + -9x = (6.93 + -3.96x) Solving 3 + -9x = 6.93 + -3.96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.96x' to each side of the equation. 3 + -9x + 3.96x = 6.93 + -3.96x + 3.96x Combine like terms: -9x + 3.96x = -5.04x 3 + -5.04x = 6.93 + -3.96x + 3.96x Combine like terms: -3.96x + 3.96x = 0.00 3 + -5.04x = 6.93 + 0.00 3 + -5.04x = 6.93 Add '-3' to each side of the equation. 3 + -3 + -5.04x = 6.93 + -3 Combine like terms: 3 + -3 = 0 0 + -5.04x = 6.93 + -3 -5.04x = 6.93 + -3 Combine like terms: 6.93 + -3 = 3.93 -5.04x = 3.93 Divide each side by '-5.04'. x = -0.7797619048 Simplifying x = -0.7797619048
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