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Simplifying 6(2x + 5) = -1(x + 4) Reorder the terms: 6(5 + 2x) = -1(x + 4) (5 * 6 + 2x * 6) = -1(x + 4) (30 + 12x) = -1(x + 4) Reorder the terms: 30 + 12x = -1(4 + x) 30 + 12x = (4 * -1 + x * -1) 30 + 12x = (-4 + -1x) Solving 30 + 12x = -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. 30 + 12x + x = -4 + -1x + x Combine like terms: 12x + x = 13x 30 + 13x = -4 + -1x + x Combine like terms: -1x + x = 0 30 + 13x = -4 + 0 30 + 13x = -4 Add '-30' to each side of the equation. 30 + -30 + 13x = -4 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = -4 + -30 13x = -4 + -30 Combine like terms: -4 + -30 = -34 13x = -34 Divide each side by '13'. x = -2.615384615 Simplifying x = -2.615384615
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