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Simplifying 6x + (3x + -7) = 4x + 4x + -1 Reorder the terms: 6x + (-7 + 3x) = 4x + 4x + -1 Remove parenthesis around (-7 + 3x) 6x + -7 + 3x = 4x + 4x + -1 Reorder the terms: -7 + 6x + 3x = 4x + 4x + -1 Combine like terms: 6x + 3x = 9x -7 + 9x = 4x + 4x + -1 Reorder the terms: -7 + 9x = -1 + 4x + 4x Combine like terms: 4x + 4x = 8x -7 + 9x = -1 + 8x Solving -7 + 9x = -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. -7 + 9x + -8x = -1 + 8x + -8x Combine like terms: 9x + -8x = 1x -7 + 1x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 1x = -1 + 0 -7 + 1x = -1 Add '7' to each side of the equation. -7 + 7 + 1x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -1 + 7 1x = -1 + 7 Combine like terms: -1 + 7 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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