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Simplifying 5x + -1(x + 5) = x + 7 Reorder the terms: 5x + -1(5 + x) = x + 7 5x + (5 * -1 + x * -1) = x + 7 5x + (-5 + -1x) = x + 7 Reorder the terms: -5 + 5x + -1x = x + 7 Combine like terms: 5x + -1x = 4x -5 + 4x = x + 7 Reorder the terms: -5 + 4x = 7 + x Solving -5 + 4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 4x + -1x = 7 + x + -1x Combine like terms: 4x + -1x = 3x -5 + 3x = 7 + x + -1x Combine like terms: x + -1x = 0 -5 + 3x = 7 + 0 -5 + 3x = 7 Add '5' to each side of the equation. -5 + 5 + 3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 7 + 5 3x = 7 + 5 Combine like terms: 7 + 5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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