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Simplifying -10(2x + -6) + 7(3x + -6) + -6 = 6 + -9 Reorder the terms: -10(-6 + 2x) + 7(3x + -6) + -6 = 6 + -9 (-6 * -10 + 2x * -10) + 7(3x + -6) + -6 = 6 + -9 (60 + -20x) + 7(3x + -6) + -6 = 6 + -9 Reorder the terms: 60 + -20x + 7(-6 + 3x) + -6 = 6 + -9 60 + -20x + (-6 * 7 + 3x * 7) + -6 = 6 + -9 60 + -20x + (-42 + 21x) + -6 = 6 + -9 Reorder the terms: 60 + -42 + -6 + -20x + 21x = 6 + -9 Combine like terms: 60 + -42 = 18 18 + -6 + -20x + 21x = 6 + -9 Combine like terms: 18 + -6 = 12 12 + -20x + 21x = 6 + -9 Combine like terms: -20x + 21x = 1x 12 + 1x = 6 + -9 Combine like terms: 6 + -9 = -3 12 + 1x = -3 Solving 12 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -3 + -12 1x = -3 + -12 Combine like terms: -3 + -12 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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