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Simplifying 2(3x + 5) = -1(x + 4) Reorder the terms: 2(5 + 3x) = -1(x + 4) (5 * 2 + 3x * 2) = -1(x + 4) (10 + 6x) = -1(x + 4) Reorder the terms: 10 + 6x = -1(4 + x) 10 + 6x = (4 * -1 + x * -1) 10 + 6x = (-4 + -1x) Solving 10 + 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. 10 + 6x + x = -4 + -1x + x Combine like terms: 6x + x = 7x 10 + 7x = -4 + -1x + x Combine like terms: -1x + x = 0 10 + 7x = -4 + 0 10 + 7x = -4 Add '-10' to each side of the equation. 10 + -10 + 7x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -4 + -10 7x = -4 + -10 Combine like terms: -4 + -10 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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