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Simplifying 2(5x + 6) + -2x = -2(5x + -6) Reorder the terms: 2(6 + 5x) + -2x = -2(5x + -6) (6 * 2 + 5x * 2) + -2x = -2(5x + -6) (12 + 10x) + -2x = -2(5x + -6) Combine like terms: 10x + -2x = 8x 12 + 8x = -2(5x + -6) Reorder the terms: 12 + 8x = -2(-6 + 5x) 12 + 8x = (-6 * -2 + 5x * -2) 12 + 8x = (12 + -10x) Add '-12' to each side of the equation. 12 + -12 + 8x = 12 + -12 + -10x Combine like terms: 12 + -12 = 0 0 + 8x = 12 + -12 + -10x 8x = 12 + -12 + -10x Combine like terms: 12 + -12 = 0 8x = 0 + -10x 8x = -10x Solving 8x = -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. 8x + 10x = -10x + 10x Combine like terms: 8x + 10x = 18x 18x = -10x + 10x Combine like terms: -10x + 10x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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