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Simplifying 5x + -1 = 7 + -1(x + 2) Reorder the terms: -1 + 5x = 7 + -1(x + 2) Reorder the terms: -1 + 5x = 7 + -1(2 + x) -1 + 5x = 7 + (2 * -1 + x * -1) -1 + 5x = 7 + (-2 + -1x) Combine like terms: 7 + -2 = 5 -1 + 5x = 5 + -1x Solving -1 + 5x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 5x + x = 5 + -1x + x Combine like terms: 5x + x = 6x -1 + 6x = 5 + -1x + x Combine like terms: -1x + x = 0 -1 + 6x = 5 + 0 -1 + 6x = 5 Add '1' to each side of the equation. -1 + 1 + 6x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 5 + 1 6x = 5 + 1 Combine like terms: 5 + 1 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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