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Simplifying 2(3x + 6) = -1(x + -4) Reorder the terms: 2(6 + 3x) = -1(x + -4) (6 * 2 + 3x * 2) = -1(x + -4) (12 + 6x) = -1(x + -4) Reorder the terms: 12 + 6x = -1(-4 + x) 12 + 6x = (-4 * -1 + x * -1) 12 + 6x = (4 + -1x) Solving 12 + 6x = 4 + -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 = 4 + -1x + x Combine like terms: 6x + x = 7x 12 + 7x = 4 + -1x + x Combine like terms: -1x + x = 0 12 + 7x = 4 + 0 12 + 7x = 4 Add '-12' to each side of the equation. 12 + -12 + 7x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 4 + -12 7x = 4 + -12 Combine like terms: 4 + -12 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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