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Simplifying 4(x + 9) = 6x Reorder the terms: 4(9 + x) = 6x (9 * 4 + x * 4) = 6x (36 + 4x) = 6x Solving 36 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x 36 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 36 + -2x = 0 Add '-36' to each side of the equation. 36 + -36 + -2x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 0 + -36 -2x = 0 + -36 Combine like terms: 0 + -36 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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