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Simplifying -6(2x + -9) + 6x = -7x Reorder the terms: -6(-9 + 2x) + 6x = -7x (-9 * -6 + 2x * -6) + 6x = -7x (54 + -12x) + 6x = -7x Combine like terms: -12x + 6x = -6x 54 + -6x = -7x Solving 54 + -6x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 54 + -6x + 7x = -7x + 7x Combine like terms: -6x + 7x = 1x 54 + 1x = -7x + 7x Combine like terms: -7x + 7x = 0 54 + 1x = 0 Add '-54' to each side of the equation. 54 + -54 + 1x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 0 + -54 1x = 0 + -54 Combine like terms: 0 + -54 = -54 1x = -54 Divide each side by '1'. x = -54 Simplifying x = -54
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