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Simplifying 9(x + -1) + 3(x + 1) = 5x + -5 Reorder the terms: 9(-1 + x) + 3(x + 1) = 5x + -5 (-1 * 9 + x * 9) + 3(x + 1) = 5x + -5 (-9 + 9x) + 3(x + 1) = 5x + -5 Reorder the terms: -9 + 9x + 3(1 + x) = 5x + -5 -9 + 9x + (1 * 3 + x * 3) = 5x + -5 -9 + 9x + (3 + 3x) = 5x + -5 Reorder the terms: -9 + 3 + 9x + 3x = 5x + -5 Combine like terms: -9 + 3 = -6 -6 + 9x + 3x = 5x + -5 Combine like terms: 9x + 3x = 12x -6 + 12x = 5x + -5 Reorder the terms: -6 + 12x = -5 + 5x Solving -6 + 12x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 12x + -5x = -5 + 5x + -5x Combine like terms: 12x + -5x = 7x -6 + 7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 7x = -5 + 0 -6 + 7x = -5 Add '6' to each side of the equation. -6 + 6 + 7x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -5 + 6 7x = -5 + 6 Combine like terms: -5 + 6 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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