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Simplifying 4(x + 9) = 3x + 41 Reorder the terms: 4(9 + x) = 3x + 41 (9 * 4 + x * 4) = 3x + 41 (36 + 4x) = 3x + 41 Reorder the terms: 36 + 4x = 41 + 3x Solving 36 + 4x = 41 + 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 = 41 + 3x + -3x Combine like terms: 4x + -3x = 1x 36 + 1x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 1x = 41 + 0 36 + 1x = 41 Add '-36' to each side of the equation. 36 + -36 + 1x = 41 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 41 + -36 1x = 41 + -36 Combine like terms: 41 + -36 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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