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Simplifying 9x + -10 + 11 = 12x + 3 + -6x + 1 Reorder the terms: -10 + 11 + 9x = 12x + 3 + -6x + 1 Combine like terms: -10 + 11 = 1 1 + 9x = 12x + 3 + -6x + 1 Reorder the terms: 1 + 9x = 3 + 1 + 12x + -6x Combine like terms: 3 + 1 = 4 1 + 9x = 4 + 12x + -6x Combine like terms: 12x + -6x = 6x 1 + 9x = 4 + 6x Solving 1 + 9x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 9x + -6x = 4 + 6x + -6x Combine like terms: 9x + -6x = 3x 1 + 3x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 3x = 4 + 0 1 + 3x = 4 Add '-1' to each side of the equation. 1 + -1 + 3x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 4 + -1 3x = 4 + -1 Combine like terms: 4 + -1 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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