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Simplifying 7(4x + -8) = 7(4 + x) Reorder the terms: 7(-8 + 4x) = 7(4 + x) (-8 * 7 + 4x * 7) = 7(4 + x) (-56 + 28x) = 7(4 + x) -56 + 28x = (4 * 7 + x * 7) -56 + 28x = (28 + 7x) Solving -56 + 28x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -56 + 28x + -7x = 28 + 7x + -7x Combine like terms: 28x + -7x = 21x -56 + 21x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -56 + 21x = 28 + 0 -56 + 21x = 28 Add '56' to each side of the equation. -56 + 56 + 21x = 28 + 56 Combine like terms: -56 + 56 = 0 0 + 21x = 28 + 56 21x = 28 + 56 Combine like terms: 28 + 56 = 84 21x = 84 Divide each side by '21'. x = 4 Simplifying x = 4
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