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Simplifying 7x + -6 = (x + 1) + 4x + -9 Reorder the terms: -6 + 7x = (x + 1) + 4x + -9 Reorder the terms: -6 + 7x = (1 + x) + 4x + -9 Remove parenthesis around (1 + x) -6 + 7x = 1 + x + 4x + -9 Reorder the terms: -6 + 7x = 1 + -9 + x + 4x Combine like terms: 1 + -9 = -8 -6 + 7x = -8 + x + 4x Combine like terms: x + 4x = 5x -6 + 7x = -8 + 5x Solving -6 + 7x = -8 + 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 + 7x + -5x = -8 + 5x + -5x Combine like terms: 7x + -5x = 2x -6 + 2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 2x = -8 + 0 -6 + 2x = -8 Add '6' to each side of the equation. -6 + 6 + 2x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -8 + 6 2x = -8 + 6 Combine like terms: -8 + 6 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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