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Simplifying 4(-5x + 1) = 3(-4 + -7x) Reorder the terms: 4(1 + -5x) = 3(-4 + -7x) (1 * 4 + -5x * 4) = 3(-4 + -7x) (4 + -20x) = 3(-4 + -7x) 4 + -20x = (-4 * 3 + -7x * 3) 4 + -20x = (-12 + -21x) Solving 4 + -20x = -12 + -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. 4 + -20x + 21x = -12 + -21x + 21x Combine like terms: -20x + 21x = 1x 4 + 1x = -12 + -21x + 21x Combine like terms: -21x + 21x = 0 4 + 1x = -12 + 0 4 + 1x = -12 Add '-4' to each side of the equation. 4 + -4 + 1x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -12 + -4 1x = -12 + -4 Combine like terms: -12 + -4 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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