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Simplifying 7(x + 9) = 5x + 53 Reorder the terms: 7(9 + x) = 5x + 53 (9 * 7 + x * 7) = 5x + 53 (63 + 7x) = 5x + 53 Reorder the terms: 63 + 7x = 53 + 5x Solving 63 + 7x = 53 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 63 + 7x + -5x = 53 + 5x + -5x Combine like terms: 7x + -5x = 2x 63 + 2x = 53 + 5x + -5x Combine like terms: 5x + -5x = 0 63 + 2x = 53 + 0 63 + 2x = 53 Add '-63' to each side of the equation. 63 + -63 + 2x = 53 + -63 Combine like terms: 63 + -63 = 0 0 + 2x = 53 + -63 2x = 53 + -63 Combine like terms: 53 + -63 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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