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Simplifying 6x + -36 = 3(4x + -6) Reorder the terms: -36 + 6x = 3(4x + -6) Reorder the terms: -36 + 6x = 3(-6 + 4x) -36 + 6x = (-6 * 3 + 4x * 3) -36 + 6x = (-18 + 12x) Solving -36 + 6x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -36 + 6x + -12x = -18 + 12x + -12x Combine like terms: 6x + -12x = -6x -36 + -6x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -36 + -6x = -18 + 0 -36 + -6x = -18 Add '36' to each side of the equation. -36 + 36 + -6x = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = -18 + 36 -6x = -18 + 36 Combine like terms: -18 + 36 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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