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Simplifying 3(-7x + 8) + -4(5 + -4x) = (-28 + -4x) Reorder the terms: 3(8 + -7x) + -4(5 + -4x) = (-28 + -4x) (8 * 3 + -7x * 3) + -4(5 + -4x) = (-28 + -4x) (24 + -21x) + -4(5 + -4x) = (-28 + -4x) 24 + -21x + (5 * -4 + -4x * -4) = (-28 + -4x) 24 + -21x + (-20 + 16x) = (-28 + -4x) Reorder the terms: 24 + -20 + -21x + 16x = (-28 + -4x) Combine like terms: 24 + -20 = 4 4 + -21x + 16x = (-28 + -4x) Combine like terms: -21x + 16x = -5x 4 + -5x = (-28 + -4x) Remove parenthesis around (-28 + -4x) 4 + -5x = -28 + -4x Solving 4 + -5x = -28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + -5x + 4x = -28 + -4x + 4x Combine like terms: -5x + 4x = -1x 4 + -1x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + -1x = -28 + 0 4 + -1x = -28 Add '-4' to each side of the equation. 4 + -4 + -1x = -28 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -28 + -4 -1x = -28 + -4 Combine like terms: -28 + -4 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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