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Simplifying 3(2x + -1) + -4(3x + -5) = -7 Reorder the terms: 3(-1 + 2x) + -4(3x + -5) = -7 (-1 * 3 + 2x * 3) + -4(3x + -5) = -7 (-3 + 6x) + -4(3x + -5) = -7 Reorder the terms: -3 + 6x + -4(-5 + 3x) = -7 -3 + 6x + (-5 * -4 + 3x * -4) = -7 -3 + 6x + (20 + -12x) = -7 Reorder the terms: -3 + 20 + 6x + -12x = -7 Combine like terms: -3 + 20 = 17 17 + 6x + -12x = -7 Combine like terms: 6x + -12x = -6x 17 + -6x = -7 Solving 17 + -6x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -7 + -17 -6x = -7 + -17 Combine like terms: -7 + -17 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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