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Simplifying 3x + -5(x + 2) + 5(6 + -1x) = 0 Reorder the terms: 3x + -5(2 + x) + 5(6 + -1x) = 0 3x + (2 * -5 + x * -5) + 5(6 + -1x) = 0 3x + (-10 + -5x) + 5(6 + -1x) = 0 3x + -10 + -5x + (6 * 5 + -1x * 5) = 0 3x + -10 + -5x + (30 + -5x) = 0 Reorder the terms: -10 + 30 + 3x + -5x + -5x = 0 Combine like terms: -10 + 30 = 20 20 + 3x + -5x + -5x = 0 Combine like terms: 3x + -5x = -2x 20 + -2x + -5x = 0 Combine like terms: -2x + -5x = -7x 20 + -7x = 0 Solving 20 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 0 + -20 -7x = 0 + -20 Combine like terms: 0 + -20 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857
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