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Simplifying -2 + -4(-5x + 12) = -7(-3x + 5) Reorder the terms: -2 + -4(12 + -5x) = -7(-3x + 5) -2 + (12 * -4 + -5x * -4) = -7(-3x + 5) -2 + (-48 + 20x) = -7(-3x + 5) Combine like terms: -2 + -48 = -50 -50 + 20x = -7(-3x + 5) Reorder the terms: -50 + 20x = -7(5 + -3x) -50 + 20x = (5 * -7 + -3x * -7) -50 + 20x = (-35 + 21x) Solving -50 + 20x = -35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -50 + 20x + -21x = -35 + 21x + -21x Combine like terms: 20x + -21x = -1x -50 + -1x = -35 + 21x + -21x Combine like terms: 21x + -21x = 0 -50 + -1x = -35 + 0 -50 + -1x = -35 Add '50' to each side of the equation. -50 + 50 + -1x = -35 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = -35 + 50 -1x = -35 + 50 Combine like terms: -35 + 50 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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