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Simplifying 3(4 + -5x) + (12x + -7) = 0 (4 * 3 + -5x * 3) + (12x + -7) = 0 (12 + -15x) + (12x + -7) = 0 Reorder the terms: 12 + -15x + (-7 + 12x) = 0 Remove parenthesis around (-7 + 12x) 12 + -15x + -7 + 12x = 0 Reorder the terms: 12 + -7 + -15x + 12x = 0 Combine like terms: 12 + -7 = 5 5 + -15x + 12x = 0 Combine like terms: -15x + 12x = -3x 5 + -3x = 0 Solving 5 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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