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Simplifying 4(x + 9) = 13x Reorder the terms: 4(9 + x) = 13x (9 * 4 + x * 4) = 13x (36 + 4x) = 13x Solving 36 + 4x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 36 + 4x + -13x = 13x + -13x Combine like terms: 4x + -13x = -9x 36 + -9x = 13x + -13x Combine like terms: 13x + -13x = 0 36 + -9x = 0 Add '-36' to each side of the equation. 36 + -36 + -9x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -9x = 0 + -36 -9x = 0 + -36 Combine like terms: 0 + -36 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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