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Simplifying 4(9 + x) = 3(4 + x) (9 * 4 + x * 4) = 3(4 + x) (36 + 4x) = 3(4 + x) 36 + 4x = (4 * 3 + x * 3) 36 + 4x = (12 + 3x) Solving 36 + 4x = 12 + 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. 36 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x 36 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 1x = 12 + 0 36 + 1x = 12 Add '-36' to each side of the equation. 36 + -36 + 1x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 12 + -36 1x = 12 + -36 Combine like terms: 12 + -36 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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