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Simplifying 4x + -16 + -5x = 8x + 42 Reorder the terms: -16 + 4x + -5x = 8x + 42 Combine like terms: 4x + -5x = -1x -16 + -1x = 8x + 42 Reorder the terms: -16 + -1x = 42 + 8x Solving -16 + -1x = 42 + 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. -16 + -1x + -8x = 42 + 8x + -8x Combine like terms: -1x + -8x = -9x -16 + -9x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -9x = 42 + 0 -16 + -9x = 42 Add '16' to each side of the equation. -16 + 16 + -9x = 42 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = 42 + 16 -9x = 42 + 16 Combine like terms: 42 + 16 = 58 -9x = 58 Divide each side by '-9'. x = -6.444444444 Simplifying x = -6.444444444
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