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Simplifying 7(4x + -8) = 13 + 5x Reorder the terms: 7(-8 + 4x) = 13 + 5x (-8 * 7 + 4x * 7) = 13 + 5x (-56 + 28x) = 13 + 5x Solving -56 + 28x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -56 + 28x + -5x = 13 + 5x + -5x Combine like terms: 28x + -5x = 23x -56 + 23x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 23x = 13 + 0 -56 + 23x = 13 Add '56' to each side of the equation. -56 + 56 + 23x = 13 + 56 Combine like terms: -56 + 56 = 0 0 + 23x = 13 + 56 23x = 13 + 56 Combine like terms: 13 + 56 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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