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Simplifying 6 + 4x + -9 = -7 + 5x + 12 Reorder the terms: 6 + -9 + 4x = -7 + 5x + 12 Combine like terms: 6 + -9 = -3 -3 + 4x = -7 + 5x + 12 Reorder the terms: -3 + 4x = -7 + 12 + 5x Combine like terms: -7 + 12 = 5 -3 + 4x = 5 + 5x Solving -3 + 4x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 4x + -5x = 5 + 5x + -5x Combine like terms: 4x + -5x = -1x -3 + -1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -1x = 5 + 0 -3 + -1x = 5 Add '3' to each side of the equation. -3 + 3 + -1x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 5 + 3 -1x = 5 + 3 Combine like terms: 5 + 3 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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