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Simplifying 5(x + -2) + -1 = 3x + 7 Reorder the terms: 5(-2 + x) + -1 = 3x + 7 (-2 * 5 + x * 5) + -1 = 3x + 7 (-10 + 5x) + -1 = 3x + 7 Reorder the terms: -10 + -1 + 5x = 3x + 7 Combine like terms: -10 + -1 = -11 -11 + 5x = 3x + 7 Reorder the terms: -11 + 5x = 7 + 3x Solving -11 + 5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x -11 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 2x = 7 + 0 -11 + 2x = 7 Add '11' to each side of the equation. -11 + 11 + 2x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 7 + 11 2x = 7 + 11 Combine like terms: 7 + 11 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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