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Simplifying 7(x + -2) + 2(x + 1) = 1 + -3x Reorder the terms: 7(-2 + x) + 2(x + 1) = 1 + -3x (-2 * 7 + x * 7) + 2(x + 1) = 1 + -3x (-14 + 7x) + 2(x + 1) = 1 + -3x Reorder the terms: -14 + 7x + 2(1 + x) = 1 + -3x -14 + 7x + (1 * 2 + x * 2) = 1 + -3x -14 + 7x + (2 + 2x) = 1 + -3x Reorder the terms: -14 + 2 + 7x + 2x = 1 + -3x Combine like terms: -14 + 2 = -12 -12 + 7x + 2x = 1 + -3x Combine like terms: 7x + 2x = 9x -12 + 9x = 1 + -3x Solving -12 + 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. -12 + 9x + 3x = 1 + -3x + 3x Combine like terms: 9x + 3x = 12x -12 + 12x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 12x = 1 + 0 -12 + 12x = 1 Add '12' to each side of the equation. -12 + 12 + 12x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 1 + 12 12x = 1 + 12 Combine like terms: 1 + 12 = 13 12x = 13 Divide each side by '12'. x = 1.083333333 Simplifying x = 1.083333333
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