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Simplifying 9(x + 7) = 7x + 43 Reorder the terms: 9(7 + x) = 7x + 43 (7 * 9 + x * 9) = 7x + 43 (63 + 9x) = 7x + 43 Reorder the terms: 63 + 9x = 43 + 7x Solving 63 + 9x = 43 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 63 + 9x + -7x = 43 + 7x + -7x Combine like terms: 9x + -7x = 2x 63 + 2x = 43 + 7x + -7x Combine like terms: 7x + -7x = 0 63 + 2x = 43 + 0 63 + 2x = 43 Add '-63' to each side of the equation. 63 + -63 + 2x = 43 + -63 Combine like terms: 63 + -63 = 0 0 + 2x = 43 + -63 2x = 43 + -63 Combine like terms: 43 + -63 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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