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Simplifying 6(x + 2) + 3(3x + -2) = 12 Reorder the terms: 6(2 + x) + 3(3x + -2) = 12 (2 * 6 + x * 6) + 3(3x + -2) = 12 (12 + 6x) + 3(3x + -2) = 12 Reorder the terms: 12 + 6x + 3(-2 + 3x) = 12 12 + 6x + (-2 * 3 + 3x * 3) = 12 12 + 6x + (-6 + 9x) = 12 Reorder the terms: 12 + -6 + 6x + 9x = 12 Combine like terms: 12 + -6 = 6 6 + 6x + 9x = 12 Combine like terms: 6x + 9x = 15x 6 + 15x = 12 Solving 6 + 15x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 12 + -6 15x = 12 + -6 Combine like terms: 12 + -6 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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