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Simplifying 9 + 7(x + -6) = 3 + -2(x + -9) Reorder the terms: 9 + 7(-6 + x) = 3 + -2(x + -9) 9 + (-6 * 7 + x * 7) = 3 + -2(x + -9) 9 + (-42 + 7x) = 3 + -2(x + -9) Combine like terms: 9 + -42 = -33 -33 + 7x = 3 + -2(x + -9) Reorder the terms: -33 + 7x = 3 + -2(-9 + x) -33 + 7x = 3 + (-9 * -2 + x * -2) -33 + 7x = 3 + (18 + -2x) Combine like terms: 3 + 18 = 21 -33 + 7x = 21 + -2x Solving -33 + 7x = 21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -33 + 7x + 2x = 21 + -2x + 2x Combine like terms: 7x + 2x = 9x -33 + 9x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -33 + 9x = 21 + 0 -33 + 9x = 21 Add '33' to each side of the equation. -33 + 33 + 9x = 21 + 33 Combine like terms: -33 + 33 = 0 0 + 9x = 21 + 33 9x = 21 + 33 Combine like terms: 21 + 33 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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