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Simplifying 6(2 + -1x) = -5(2x + 4) (2 * 6 + -1x * 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 = 4x 12 + 4x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 4x = -20 + 0 12 + 4x = -20 Add '-12' to each side of the equation. 12 + -12 + 4x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -20 + -12 4x = -20 + -12 Combine like terms: -20 + -12 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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