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Simplifying 7(x + 4) = 9x + 34 Reorder the terms: 7(4 + x) = 9x + 34 (4 * 7 + x * 7) = 9x + 34 (28 + 7x) = 9x + 34 Reorder the terms: 28 + 7x = 34 + 9x Solving 28 + 7x = 34 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 7x + -9x = 34 + 9x + -9x Combine like terms: 7x + -9x = -2x 28 + -2x = 34 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -2x = 34 + 0 28 + -2x = 34 Add '-28' to each side of the equation. 28 + -28 + -2x = 34 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 34 + -28 -2x = 34 + -28 Combine like terms: 34 + -28 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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