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Simplifying -6 = 5x + 6(-3x + 12) Reorder the terms: -6 = 5x + 6(12 + -3x) -6 = 5x + (12 * 6 + -3x * 6) -6 = 5x + (72 + -18x) Reorder the terms: -6 = 72 + 5x + -18x Combine like terms: 5x + -18x = -13x -6 = 72 + -13x Solving -6 = 72 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -6 + 13x = 72 + -13x + 13x Combine like terms: -13x + 13x = 0 -6 + 13x = 72 + 0 -6 + 13x = 72 Add '6' to each side of the equation. -6 + 6 + 13x = 72 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 72 + 6 13x = 72 + 6 Combine like terms: 72 + 6 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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