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Simplifying 3(x + 6) = -4(x + -1) Reorder the terms: 3(6 + x) = -4(x + -1) (6 * 3 + x * 3) = -4(x + -1) (18 + 3x) = -4(x + -1) Reorder the terms: 18 + 3x = -4(-1 + x) 18 + 3x = (-1 * -4 + x * -4) 18 + 3x = (4 + -4x) Solving 18 + 3x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + 3x + 4x = 4 + -4x + 4x Combine like terms: 3x + 4x = 7x 18 + 7x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 7x = 4 + 0 18 + 7x = 4 Add '-18' to each side of the equation. 18 + -18 + 7x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 4 + -18 7x = 4 + -18 Combine like terms: 4 + -18 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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