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Simplifying 4(x + -6) = -2(6x + -5) Reorder the terms: 4(-6 + x) = -2(6x + -5) (-6 * 4 + x * 4) = -2(6x + -5) (-24 + 4x) = -2(6x + -5) Reorder the terms: -24 + 4x = -2(-5 + 6x) -24 + 4x = (-5 * -2 + 6x * -2) -24 + 4x = (10 + -12x) Solving -24 + 4x = 10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -24 + 4x + 12x = 10 + -12x + 12x Combine like terms: 4x + 12x = 16x -24 + 16x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 16x = 10 + 0 -24 + 16x = 10 Add '24' to each side of the equation. -24 + 24 + 16x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = 10 + 24 16x = 10 + 24 Combine like terms: 10 + 24 = 34 16x = 34 Divide each side by '16'. x = 2.125 Simplifying x = 2.125
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