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Simplifying (3x + 1) + (4x + -5) = 8x + -9 Reorder the terms: (1 + 3x) + (4x + -5) = 8x + -9 Remove parenthesis around (1 + 3x) 1 + 3x + (4x + -5) = 8x + -9 Reorder the terms: 1 + 3x + (-5 + 4x) = 8x + -9 Remove parenthesis around (-5 + 4x) 1 + 3x + -5 + 4x = 8x + -9 Reorder the terms: 1 + -5 + 3x + 4x = 8x + -9 Combine like terms: 1 + -5 = -4 -4 + 3x + 4x = 8x + -9 Combine like terms: 3x + 4x = 7x -4 + 7x = 8x + -9 Reorder the terms: -4 + 7x = -9 + 8x Solving -4 + 7x = -9 + 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. -4 + 7x + -8x = -9 + 8x + -8x Combine like terms: 7x + -8x = -1x -4 + -1x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -1x = -9 + 0 -4 + -1x = -9 Add '4' to each side of the equation. -4 + 4 + -1x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -9 + 4 -1x = -9 + 4 Combine like terms: -9 + 4 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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