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Simplifying x + 12 + -3x + -4 = 5x + 1 + -1x + -5 Reorder the terms: 12 + -4 + x + -3x = 5x + 1 + -1x + -5 Combine like terms: 12 + -4 = 8 8 + x + -3x = 5x + 1 + -1x + -5 Combine like terms: x + -3x = -2x 8 + -2x = 5x + 1 + -1x + -5 Reorder the terms: 8 + -2x = 1 + -5 + 5x + -1x Combine like terms: 1 + -5 = -4 8 + -2x = -4 + 5x + -1x Combine like terms: 5x + -1x = 4x 8 + -2x = -4 + 4x Solving 8 + -2x = -4 + 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. 8 + -2x + -4x = -4 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = -4 + 0 8 + -6x = -4 Add '-8' to each side of the equation. 8 + -8 + -6x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -4 + -8 -6x = -4 + -8 Combine like terms: -4 + -8 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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