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Simplifying 5(x + 2) = 3x(9) Reorder the terms: 5(2 + x) = 3x(9) (2 * 5 + x * 5) = 3x(9) (10 + 5x) = 3x(9) Reorder the terms for easier multiplication: 10 + 5x = 3 * 9x Multiply 3 * 9 10 + 5x = 27x Solving 10 + 5x = 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 10 + 5x + -27x = 27x + -27x Combine like terms: 5x + -27x = -22x 10 + -22x = 27x + -27x Combine like terms: 27x + -27x = 0 10 + -22x = 0 Add '-10' to each side of the equation. 10 + -10 + -22x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -22x = 0 + -10 -22x = 0 + -10 Combine like terms: 0 + -10 = -10 -22x = -10 Divide each side by '-22'. x = 0.4545454545 Simplifying x = 0.4545454545
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