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Simplifying 5(x + -2) + 1 = 3x + -1 Reorder the terms: 5(-2 + x) + 1 = 3x + -1 (-2 * 5 + x * 5) + 1 = 3x + -1 (-10 + 5x) + 1 = 3x + -1 Reorder the terms: -10 + 1 + 5x = 3x + -1 Combine like terms: -10 + 1 = -9 -9 + 5x = 3x + -1 Reorder the terms: -9 + 5x = -1 + 3x Solving -9 + 5x = -1 + 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. -9 + 5x + -3x = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x -9 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 2x = -1 + 0 -9 + 2x = -1 Add '9' to each side of the equation. -9 + 9 + 2x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -1 + 9 2x = -1 + 9 Combine like terms: -1 + 9 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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