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Simplifying 2(x + 6) = -1(5x + 3) Reorder the terms: 2(6 + x) = -1(5x + 3) (6 * 2 + x * 2) = -1(5x + 3) (12 + 2x) = -1(5x + 3) Reorder the terms: 12 + 2x = -1(3 + 5x) 12 + 2x = (3 * -1 + 5x * -1) 12 + 2x = (-3 + -5x) Solving 12 + 2x = -3 + -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. 12 + 2x + 5x = -3 + -5x + 5x Combine like terms: 2x + 5x = 7x 12 + 7x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 7x = -3 + 0 12 + 7x = -3 Add '-12' to each side of the equation. 12 + -12 + 7x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -3 + -12 7x = -3 + -12 Combine like terms: -3 + -12 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143
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