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