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Simplifying 5(x + 9) = 7x + 47 Reorder the terms: 5(9 + x) = 7x + 47 (9 * 5 + x * 5) = 7x + 47 (45 + 5x) = 7x + 47 Reorder the terms: 45 + 5x = 47 + 7x Solving 45 + 5x = 47 + 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. 45 + 5x + -7x = 47 + 7x + -7x Combine like terms: 5x + -7x = -2x 45 + -2x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -2x = 47 + 0 45 + -2x = 47 Add '-45' to each side of the equation. 45 + -45 + -2x = 47 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 47 + -45 -2x = 47 + -45 Combine like terms: 47 + -45 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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