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Simplifying 4x + 4 + 3x + 8 = 9x + -4 + -5x + 12 Reorder the terms: 4 + 8 + 4x + 3x = 9x + -4 + -5x + 12 Combine like terms: 4 + 8 = 12 12 + 4x + 3x = 9x + -4 + -5x + 12 Combine like terms: 4x + 3x = 7x 12 + 7x = 9x + -4 + -5x + 12 Reorder the terms: 12 + 7x = -4 + 12 + 9x + -5x Combine like terms: -4 + 12 = 8 12 + 7x = 8 + 9x + -5x Combine like terms: 9x + -5x = 4x 12 + 7x = 8 + 4x Solving 12 + 7x = 8 + 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. 12 + 7x + -4x = 8 + 4x + -4x Combine like terms: 7x + -4x = 3x 12 + 3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 3x = 8 + 0 12 + 3x = 8 Add '-12' to each side of the equation. 12 + -12 + 3x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 8 + -12 3x = 8 + -12 Combine like terms: 8 + -12 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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