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Simplifying 9(x + -7) + 2 = 3x + -1 Reorder the terms: 9(-7 + x) + 2 = 3x + -1 (-7 * 9 + x * 9) + 2 = 3x + -1 (-63 + 9x) + 2 = 3x + -1 Reorder the terms: -63 + 2 + 9x = 3x + -1 Combine like terms: -63 + 2 = -61 -61 + 9x = 3x + -1 Reorder the terms: -61 + 9x = -1 + 3x Solving -61 + 9x = -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. -61 + 9x + -3x = -1 + 3x + -3x Combine like terms: 9x + -3x = 6x -61 + 6x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -61 + 6x = -1 + 0 -61 + 6x = -1 Add '61' to each side of the equation. -61 + 61 + 6x = -1 + 61 Combine like terms: -61 + 61 = 0 0 + 6x = -1 + 61 6x = -1 + 61 Combine like terms: -1 + 61 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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