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Simplifying 6(-2 + x) = -5(2x + 4) (-2 * 6 + x * 6) = -5(2x + 4) (-12 + 6x) = -5(2x + 4) Reorder the terms: -12 + 6x = -5(4 + 2x) -12 + 6x = (4 * -5 + 2x * -5) -12 + 6x = (-20 + -10x) Solving -12 + 6x = -20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 6x + 10x = -20 + -10x + 10x Combine like terms: 6x + 10x = 16x -12 + 16x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 16x = -20 + 0 -12 + 16x = -20 Add '12' to each side of the equation. -12 + 12 + 16x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = -20 + 12 16x = -20 + 12 Combine like terms: -20 + 12 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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