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Simplifying 12x + -6x + 3 = 2x + 9 + -10 Reorder the terms: 3 + 12x + -6x = 2x + 9 + -10 Combine like terms: 12x + -6x = 6x 3 + 6x = 2x + 9 + -10 Reorder the terms: 3 + 6x = 9 + -10 + 2x Combine like terms: 9 + -10 = -1 3 + 6x = -1 + 2x Solving 3 + 6x = -1 + 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. 3 + 6x + -2x = -1 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = -1 + 0 3 + 4x = -1 Add '-3' to each side of the equation. 3 + -3 + 4x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -1 + -3 4x = -1 + -3 Combine like terms: -1 + -3 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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