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Simplifying 12x + -6x + -10 = 4x + -6 + -2x Reorder the terms: -10 + 12x + -6x = 4x + -6 + -2x Combine like terms: 12x + -6x = 6x -10 + 6x = 4x + -6 + -2x Reorder the terms: -10 + 6x = -6 + 4x + -2x Combine like terms: 4x + -2x = 2x -10 + 6x = -6 + 2x Solving -10 + 6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 6x + -2x = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x -10 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 4x = -6 + 0 -10 + 4x = -6 Add '10' to each side of the equation. -10 + 10 + 4x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -6 + 10 4x = -6 + 10 Combine like terms: -6 + 10 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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