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Simplifying 5(8x + -7) = 4x + 1 Reorder the terms: 5(-7 + 8x) = 4x + 1 (-7 * 5 + 8x * 5) = 4x + 1 (-35 + 40x) = 4x + 1 Reorder the terms: -35 + 40x = 1 + 4x Solving -35 + 40x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 40x + -4x = 1 + 4x + -4x Combine like terms: 40x + -4x = 36x -35 + 36x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 36x = 1 + 0 -35 + 36x = 1 Add '35' to each side of the equation. -35 + 35 + 36x = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 36x = 1 + 35 36x = 1 + 35 Combine like terms: 1 + 35 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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