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Simplifying 4(3x + -1) = -5(-3x + 2) Reorder the terms: 4(-1 + 3x) = -5(-3x + 2) (-1 * 4 + 3x * 4) = -5(-3x + 2) (-4 + 12x) = -5(-3x + 2) Reorder the terms: -4 + 12x = -5(2 + -3x) -4 + 12x = (2 * -5 + -3x * -5) -4 + 12x = (-10 + 15x) Solving -4 + 12x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + 12x + -15x = -10 + 15x + -15x Combine like terms: 12x + -15x = -3x -4 + -3x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -3x = -10 + 0 -4 + -3x = -10 Add '4' to each side of the equation. -4 + 4 + -3x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -10 + 4 -3x = -10 + 4 Combine like terms: -10 + 4 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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