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Simplifying 5x + 3 + (4x + -4) = 8x + 23 Reorder the terms: 5x + 3 + (-4 + 4x) = 8x + 23 Remove parenthesis around (-4 + 4x) 5x + 3 + -4 + 4x = 8x + 23 Reorder the terms: 3 + -4 + 5x + 4x = 8x + 23 Combine like terms: 3 + -4 = -1 -1 + 5x + 4x = 8x + 23 Combine like terms: 5x + 4x = 9x -1 + 9x = 8x + 23 Reorder the terms: -1 + 9x = 23 + 8x Solving -1 + 9x = 23 + 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. -1 + 9x + -8x = 23 + 8x + -8x Combine like terms: 9x + -8x = 1x -1 + 1x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 1x = 23 + 0 -1 + 1x = 23 Add '1' to each side of the equation. -1 + 1 + 1x = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 23 + 1 1x = 23 + 1 Combine like terms: 23 + 1 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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