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Simplifying 2(x + -6) = 51 + -5x Reorder the terms: 2(-6 + x) = 51 + -5x (-6 * 2 + x * 2) = 51 + -5x (-12 + 2x) = 51 + -5x Solving -12 + 2x = 51 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 2x + 5x = 51 + -5x + 5x Combine like terms: 2x + 5x = 7x -12 + 7x = 51 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 7x = 51 + 0 -12 + 7x = 51 Add '12' to each side of the equation. -12 + 12 + 7x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 51 + 12 7x = 51 + 12 Combine like terms: 51 + 12 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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