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Simplifying 6(2x + 6) = -3x + 6 Reorder the terms: 6(6 + 2x) = -3x + 6 (6 * 6 + 2x * 6) = -3x + 6 (36 + 12x) = -3x + 6 Reorder the terms: 36 + 12x = 6 + -3x Solving 36 + 12x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + 12x + 3x = 6 + -3x + 3x Combine like terms: 12x + 3x = 15x 36 + 15x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + 15x = 6 + 0 36 + 15x = 6 Add '-36' to each side of the equation. 36 + -36 + 15x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = 6 + -36 15x = 6 + -36 Combine like terms: 6 + -36 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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