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Simplifying 6(x + -6) = 34 + -4x Reorder the terms: 6(-6 + x) = 34 + -4x (-6 * 6 + x * 6) = 34 + -4x (-36 + 6x) = 34 + -4x Solving -36 + 6x = 34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -36 + 6x + 4x = 34 + -4x + 4x Combine like terms: 6x + 4x = 10x -36 + 10x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + 10x = 34 + 0 -36 + 10x = 34 Add '36' to each side of the equation. -36 + 36 + 10x = 34 + 36 Combine like terms: -36 + 36 = 0 0 + 10x = 34 + 36 10x = 34 + 36 Combine like terms: 34 + 36 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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