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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 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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