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Simplifying 4(7 + x) = 3(9 + x) (7 * 4 + x * 4) = 3(9 + x) (28 + 4x) = 3(9 + x) 28 + 4x = (9 * 3 + x * 3) 28 + 4x = (27 + 3x) Solving 28 + 4x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 4x + -3x = 27 + 3x + -3x Combine like terms: 4x + -3x = 1x 28 + 1x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 1x = 27 + 0 28 + 1x = 27 Add '-28' to each side of the equation. 28 + -28 + 1x = 27 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 27 + -28 1x = 27 + -28 Combine like terms: 27 + -28 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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