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Simplifying 5(3x + 2) = 6(x + 2) Reorder the terms: 5(2 + 3x) = 6(x + 2) (2 * 5 + 3x * 5) = 6(x + 2) (10 + 15x) = 6(x + 2) Reorder the terms: 10 + 15x = 6(2 + x) 10 + 15x = (2 * 6 + x * 6) 10 + 15x = (12 + 6x) Solving 10 + 15x = 12 + 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. 10 + 15x + -6x = 12 + 6x + -6x Combine like terms: 15x + -6x = 9x 10 + 9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 9x = 12 + 0 10 + 9x = 12 Add '-10' to each side of the equation. 10 + -10 + 9x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 12 + -10 9x = 12 + -10 Combine like terms: 12 + -10 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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