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Simplifying 12x + 10 = 3x + -6 + x Reorder the terms: 10 + 12x = 3x + -6 + x Reorder the terms: 10 + 12x = -6 + 3x + x Combine like terms: 3x + x = 4x 10 + 12x = -6 + 4x Solving 10 + 12x = -6 + 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. 10 + 12x + -4x = -6 + 4x + -4x Combine like terms: 12x + -4x = 8x 10 + 8x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 8x = -6 + 0 10 + 8x = -6 Add '-10' to each side of the equation. 10 + -10 + 8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -6 + -10 8x = -6 + -10 Combine like terms: -6 + -10 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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