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Simplifying 5(2x + 4) = 2(-6x + -1) Reorder the terms: 5(4 + 2x) = 2(-6x + -1) (4 * 5 + 2x * 5) = 2(-6x + -1) (20 + 10x) = 2(-6x + -1) Reorder the terms: 20 + 10x = 2(-1 + -6x) 20 + 10x = (-1 * 2 + -6x * 2) 20 + 10x = (-2 + -12x) Solving 20 + 10x = -2 + -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. 20 + 10x + 12x = -2 + -12x + 12x Combine like terms: 10x + 12x = 22x 20 + 22x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 20 + 22x = -2 + 0 20 + 22x = -2 Add '-20' to each side of the equation. 20 + -20 + 22x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 22x = -2 + -20 22x = -2 + -20 Combine like terms: -2 + -20 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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