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Simplifying 6(x + -1) = 12x + 36 Reorder the terms: 6(-1 + x) = 12x + 36 (-1 * 6 + x * 6) = 12x + 36 (-6 + 6x) = 12x + 36 Reorder the terms: -6 + 6x = 36 + 12x Solving -6 + 6x = 36 + 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. -6 + 6x + -12x = 36 + 12x + -12x Combine like terms: 6x + -12x = -6x -6 + -6x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -6x = 36 + 0 -6 + -6x = 36 Add '6' to each side of the equation. -6 + 6 + -6x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 36 + 6 -6x = 36 + 6 Combine like terms: 36 + 6 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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