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Simplifying 3x + -12 + -4x + -12 = 6x + -1x + 3 Reorder the terms: -12 + -12 + 3x + -4x = 6x + -1x + 3 Combine like terms: -12 + -12 = -24 -24 + 3x + -4x = 6x + -1x + 3 Combine like terms: 3x + -4x = -1x -24 + -1x = 6x + -1x + 3 Reorder the terms: -24 + -1x = 3 + 6x + -1x Combine like terms: 6x + -1x = 5x -24 + -1x = 3 + 5x Solving -24 + -1x = 3 + 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. -24 + -1x + -5x = 3 + 5x + -5x Combine like terms: -1x + -5x = -6x -24 + -6x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -6x = 3 + 0 -24 + -6x = 3 Add '24' to each side of the equation. -24 + 24 + -6x = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 3 + 24 -6x = 3 + 24 Combine like terms: 3 + 24 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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