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Simplifying 6(x + 2) = -1(x + 3) Reorder the terms: 6(2 + x) = -1(x + 3) (2 * 6 + x * 6) = -1(x + 3) (12 + 6x) = -1(x + 3) Reorder the terms: 12 + 6x = -1(3 + x) 12 + 6x = (3 * -1 + x * -1) 12 + 6x = (-3 + -1x) Solving 12 + 6x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 6x + x = -3 + -1x + x Combine like terms: 6x + x = 7x 12 + 7x = -3 + -1x + x Combine like terms: -1x + x = 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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