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Simplifying 6(x + 4) = -1(3x + -5) Reorder the terms: 6(4 + x) = -1(3x + -5) (4 * 6 + x * 6) = -1(3x + -5) (24 + 6x) = -1(3x + -5) Reorder the terms: 24 + 6x = -1(-5 + 3x) 24 + 6x = (-5 * -1 + 3x * -1) 24 + 6x = (5 + -3x) Solving 24 + 6x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 6x + 3x = 5 + -3x + 3x Combine like terms: 6x + 3x = 9x 24 + 9x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 9x = 5 + 0 24 + 9x = 5 Add '-24' to each side of the equation. 24 + -24 + 9x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 5 + -24 9x = 5 + -24 Combine like terms: 5 + -24 = -19 9x = -19 Divide each side by '9'. x = -2.111111111 Simplifying x = -2.111111111
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