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Simplifying 4x + -12x + 12 = 14x + -6x + 6 Reorder the terms: 12 + 4x + -12x = 14x + -6x + 6 Combine like terms: 4x + -12x = -8x 12 + -8x = 14x + -6x + 6 Reorder the terms: 12 + -8x = 6 + 14x + -6x Combine like terms: 14x + -6x = 8x 12 + -8x = 6 + 8x Solving 12 + -8x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -8x + -8x = 6 + 8x + -8x Combine like terms: -8x + -8x = -16x 12 + -16x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -16x = 6 + 0 12 + -16x = 6 Add '-12' to each side of the equation. 12 + -12 + -16x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 6 + -12 -16x = 6 + -12 Combine like terms: 6 + -12 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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