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Simplifying 4(-3x + 2) + 7(4x + -4) = 60 Reorder the terms: 4(2 + -3x) + 7(4x + -4) = 60 (2 * 4 + -3x * 4) + 7(4x + -4) = 60 (8 + -12x) + 7(4x + -4) = 60 Reorder the terms: 8 + -12x + 7(-4 + 4x) = 60 8 + -12x + (-4 * 7 + 4x * 7) = 60 8 + -12x + (-28 + 28x) = 60 Reorder the terms: 8 + -28 + -12x + 28x = 60 Combine like terms: 8 + -28 = -20 -20 + -12x + 28x = 60 Combine like terms: -12x + 28x = 16x -20 + 16x = 60 Solving -20 + 16x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 16x = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 60 + 20 16x = 60 + 20 Combine like terms: 60 + 20 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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