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Simplifying 11(4x + 4) + -4x = 4(7x + -7) Reorder the terms: 11(4 + 4x) + -4x = 4(7x + -7) (4 * 11 + 4x * 11) + -4x = 4(7x + -7) (44 + 44x) + -4x = 4(7x + -7) Combine like terms: 44x + -4x = 40x 44 + 40x = 4(7x + -7) Reorder the terms: 44 + 40x = 4(-7 + 7x) 44 + 40x = (-7 * 4 + 7x * 4) 44 + 40x = (-28 + 28x) Solving 44 + 40x = -28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 44 + 40x + -28x = -28 + 28x + -28x Combine like terms: 40x + -28x = 12x 44 + 12x = -28 + 28x + -28x Combine like terms: 28x + -28x = 0 44 + 12x = -28 + 0 44 + 12x = -28 Add '-44' to each side of the equation. 44 + -44 + 12x = -28 + -44 Combine like terms: 44 + -44 = 0 0 + 12x = -28 + -44 12x = -28 + -44 Combine like terms: -28 + -44 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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