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Simplifying 4x + -12 + -5x = -12x + 8x + 9 Reorder the terms: -12 + 4x + -5x = -12x + 8x + 9 Combine like terms: 4x + -5x = -1x -12 + -1x = -12x + 8x + 9 Reorder the terms: -12 + -1x = 9 + -12x + 8x Combine like terms: -12x + 8x = -4x -12 + -1x = 9 + -4x Solving -12 + -1x = 9 + -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 + -1x + 4x = 9 + -4x + 4x Combine like terms: -1x + 4x = 3x -12 + 3x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 3x = 9 + 0 -12 + 3x = 9 Add '12' to each side of the equation. -12 + 12 + 3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 9 + 12 3x = 9 + 12 Combine like terms: 9 + 12 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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