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Simplifying 7(4 + x) = 9(x + -2) (4 * 7 + x * 7) = 9(x + -2) (28 + 7x) = 9(x + -2) Reorder the terms: 28 + 7x = 9(-2 + x) 28 + 7x = (-2 * 9 + x * 9) 28 + 7x = (-18 + 9x) Solving 28 + 7x = -18 + 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 = -18 + 9x + -9x Combine like terms: 7x + -9x = -2x 28 + -2x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -2x = -18 + 0 28 + -2x = -18 Add '-28' to each side of the equation. 28 + -28 + -2x = -18 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = -18 + -28 -2x = -18 + -28 Combine like terms: -18 + -28 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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