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Simplifying 23 + 4x + -7 = 9x + 32 + -1x Reorder the terms: 23 + -7 + 4x = 9x + 32 + -1x Combine like terms: 23 + -7 = 16 16 + 4x = 9x + 32 + -1x Reorder the terms: 16 + 4x = 32 + 9x + -1x Combine like terms: 9x + -1x = 8x 16 + 4x = 32 + 8x Solving 16 + 4x = 32 + 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 + 4x + -8x = 32 + 8x + -8x Combine like terms: 4x + -8x = -4x 16 + -4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -4x = 32 + 0 16 + -4x = 32 Add '-16' to each side of the equation. 16 + -16 + -4x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 32 + -16 -4x = 32 + -16 Combine like terms: 32 + -16 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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