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Simplifying 7(x + -1) = 4x + 5 Reorder the terms: 7(-1 + x) = 4x + 5 (-1 * 7 + x * 7) = 4x + 5 (-7 + 7x) = 4x + 5 Reorder the terms: -7 + 7x = 5 + 4x Solving -7 + 7x = 5 + 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. -7 + 7x + -4x = 5 + 4x + -4x Combine like terms: 7x + -4x = 3x -7 + 3x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 3x = 5 + 0 -7 + 3x = 5 Add '7' to each side of the equation. -7 + 7 + 3x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 5 + 7 3x = 5 + 7 Combine like terms: 5 + 7 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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