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Simplifying 6 + -6x + 6 = 4x + 10 + -12 + 4 Reorder the terms: 6 + 6 + -6x = 4x + 10 + -12 + 4 Combine like terms: 6 + 6 = 12 12 + -6x = 4x + 10 + -12 + 4 Reorder the terms: 12 + -6x = 10 + -12 + 4 + 4x Combine like terms: 10 + -12 = -2 12 + -6x = -2 + 4 + 4x Combine like terms: -2 + 4 = 2 12 + -6x = 2 + 4x Solving 12 + -6x = 2 + 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 + -6x + -4x = 2 + 4x + -4x Combine like terms: -6x + -4x = -10x 12 + -10x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -10x = 2 + 0 12 + -10x = 2 Add '-12' to each side of the equation. 12 + -12 + -10x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 2 + -12 -10x = 2 + -12 Combine like terms: 2 + -12 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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