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Simplifying 9x + 12 + -2x = 10x + 3x Reorder the terms: 12 + 9x + -2x = 10x + 3x Combine like terms: 9x + -2x = 7x 12 + 7x = 10x + 3x Combine like terms: 10x + 3x = 13x 12 + 7x = 13x Solving 12 + 7x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 7x + -13x = 13x + -13x Combine like terms: 7x + -13x = -6x 12 + -6x = 13x + -13x Combine like terms: 13x + -13x = 0 12 + -6x = 0 Add '-12' to each side of the equation. 12 + -12 + -6x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 0 + -12 -6x = 0 + -12 Combine like terms: 0 + -12 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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