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Simplifying 3x + 6(-3x + 13) = -12 Reorder the terms: 3x + 6(13 + -3x) = -12 3x + (13 * 6 + -3x * 6) = -12 3x + (78 + -18x) = -12 Reorder the terms: 78 + 3x + -18x = -12 Combine like terms: 3x + -18x = -15x 78 + -15x = -12 Solving 78 + -15x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -15x = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -15x = -12 + -78 -15x = -12 + -78 Combine like terms: -12 + -78 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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