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Simplifying 6(2x + -7) = 9(12 + -7x) Reorder the terms: 6(-7 + 2x) = 9(12 + -7x) (-7 * 6 + 2x * 6) = 9(12 + -7x) (-42 + 12x) = 9(12 + -7x) -42 + 12x = (12 * 9 + -7x * 9) -42 + 12x = (108 + -63x) Solving -42 + 12x = 108 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. -42 + 12x + 63x = 108 + -63x + 63x Combine like terms: 12x + 63x = 75x -42 + 75x = 108 + -63x + 63x Combine like terms: -63x + 63x = 0 -42 + 75x = 108 + 0 -42 + 75x = 108 Add '42' to each side of the equation. -42 + 42 + 75x = 108 + 42 Combine like terms: -42 + 42 = 0 0 + 75x = 108 + 42 75x = 108 + 42 Combine like terms: 108 + 42 = 150 75x = 150 Divide each side by '75'. x = 2 Simplifying x = 2
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