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Simplifying 0.8(35x + 30) + -3 = -0.33(12x + -18) Reorder the terms: 0.8(30 + 35x) + -3 = -0.33(12x + -18) (30 * 0.8 + 35x * 0.8) + -3 = -0.33(12x + -18) (24 + 28x) + -3 = -0.33(12x + -18) Reorder the terms: 24 + -3 + 28x = -0.33(12x + -18) Combine like terms: 24 + -3 = 21 21 + 28x = -0.33(12x + -18) Reorder the terms: 21 + 28x = -0.33(-18 + 12x) 21 + 28x = (-18 * -0.33 + 12x * -0.33) 21 + 28x = (5.94 + -3.96x) Solving 21 + 28x = 5.94 + -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. 21 + 28x + 3.96x = 5.94 + -3.96x + 3.96x Combine like terms: 28x + 3.96x = 31.96x 21 + 31.96x = 5.94 + -3.96x + 3.96x Combine like terms: -3.96x + 3.96x = 0.00 21 + 31.96x = 5.94 + 0.00 21 + 31.96x = 5.94 Add '-21' to each side of the equation. 21 + -21 + 31.96x = 5.94 + -21 Combine like terms: 21 + -21 = 0 0 + 31.96x = 5.94 + -21 31.96x = 5.94 + -21 Combine like terms: 5.94 + -21 = -15.06 31.96x = -15.06 Divide each side by '31.96'. x = -0.4712140175 Simplifying x = -0.4712140175
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