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Simplifying 4x + -4(-7x + -5) = 52 Reorder the terms: 4x + -4(-5 + -7x) = 52 4x + (-5 * -4 + -7x * -4) = 52 4x + (20 + 28x) = 52 Reorder the terms: 20 + 4x + 28x = 52 Combine like terms: 4x + 28x = 32x 20 + 32x = 52 Solving 20 + 32x = 52 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 + 32x = 52 + -20 Combine like terms: 20 + -20 = 0 0 + 32x = 52 + -20 32x = 52 + -20 Combine like terms: 52 + -20 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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