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Simplifying 3x + (4x + -6) = 8x + 1 Reorder the terms: 3x + (-6 + 4x) = 8x + 1 Remove parenthesis around (-6 + 4x) 3x + -6 + 4x = 8x + 1 Reorder the terms: -6 + 3x + 4x = 8x + 1 Combine like terms: 3x + 4x = 7x -6 + 7x = 8x + 1 Reorder the terms: -6 + 7x = 1 + 8x Solving -6 + 7x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 7x + -8x = 1 + 8x + -8x Combine like terms: 7x + -8x = -1x -6 + -1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -1x = 1 + 0 -6 + -1x = 1 Add '6' to each side of the equation. -6 + 6 + -1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 1 + 6 -1x = 1 + 6 Combine like terms: 1 + 6 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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