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Simplifying 3(6 + -5x) = 12x + -36 (6 * 3 + -5x * 3) = 12x + -36 (18 + -15x) = 12x + -36 Reorder the terms: 18 + -15x = -36 + 12x Solving 18 + -15x = -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. 18 + -15x + -12x = -36 + 12x + -12x Combine like terms: -15x + -12x = -27x 18 + -27x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -27x = -36 + 0 18 + -27x = -36 Add '-18' to each side of the equation. 18 + -18 + -27x = -36 + -18 Combine like terms: 18 + -18 = 0 0 + -27x = -36 + -18 -27x = -36 + -18 Combine like terms: -36 + -18 = -54 -27x = -54 Divide each side by '-27'. x = 2 Simplifying x = 2
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