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Simplifying 3(2 + -5x) + 4(6x) = 12 (2 * 3 + -5x * 3) + 4(6x) = 12 (6 + -15x) + 4(6x) = 12 Remove parenthesis around (6x) 6 + -15x + 4 * 6x = 12 Multiply 4 * 6 6 + -15x + 24x = 12 Combine like terms: -15x + 24x = 9x 6 + 9x = 12 Solving 6 + 9x = 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 + 9x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 12 + -6 9x = 12 + -6 Combine like terms: 12 + -6 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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