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Simplifying 6(5 + -2x) = -2(8x + -5) (5 * 6 + -2x * 6) = -2(8x + -5) (30 + -12x) = -2(8x + -5) Reorder the terms: 30 + -12x = -2(-5 + 8x) 30 + -12x = (-5 * -2 + 8x * -2) 30 + -12x = (10 + -16x) Solving 30 + -12x = 10 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 30 + -12x + 16x = 10 + -16x + 16x Combine like terms: -12x + 16x = 4x 30 + 4x = 10 + -16x + 16x Combine like terms: -16x + 16x = 0 30 + 4x = 10 + 0 30 + 4x = 10 Add '-30' to each side of the equation. 30 + -30 + 4x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 10 + -30 4x = 10 + -30 Combine like terms: 10 + -30 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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