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Simplifying -7(3x + -1) + 12(2x + -5) = 0 Reorder the terms: -7(-1 + 3x) + 12(2x + -5) = 0 (-1 * -7 + 3x * -7) + 12(2x + -5) = 0 (7 + -21x) + 12(2x + -5) = 0 Reorder the terms: 7 + -21x + 12(-5 + 2x) = 0 7 + -21x + (-5 * 12 + 2x * 12) = 0 7 + -21x + (-60 + 24x) = 0 Reorder the terms: 7 + -60 + -21x + 24x = 0 Combine like terms: 7 + -60 = -53 -53 + -21x + 24x = 0 Combine like terms: -21x + 24x = 3x -53 + 3x = 0 Solving -53 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 3x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 3x = 0 + 53 3x = 0 + 53 Combine like terms: 0 + 53 = 53 3x = 53 Divide each side by '3'. x = 17.66666667 Simplifying x = 17.66666667
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