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Simplifying (-3x + 2) + (8x + -8) = 4x + 1 Reorder the terms: (2 + -3x) + (8x + -8) = 4x + 1 Remove parenthesis around (2 + -3x) 2 + -3x + (8x + -8) = 4x + 1 Reorder the terms: 2 + -3x + (-8 + 8x) = 4x + 1 Remove parenthesis around (-8 + 8x) 2 + -3x + -8 + 8x = 4x + 1 Reorder the terms: 2 + -8 + -3x + 8x = 4x + 1 Combine like terms: 2 + -8 = -6 -6 + -3x + 8x = 4x + 1 Combine like terms: -3x + 8x = 5x -6 + 5x = 4x + 1 Reorder the terms: -6 + 5x = 1 + 4x Solving -6 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 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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