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Simplifying 12x + 13 + -1x = 12 + 11x + 23 + 3x + -1 Reorder the terms: 13 + 12x + -1x = 12 + 11x + 23 + 3x + -1 Combine like terms: 12x + -1x = 11x 13 + 11x = 12 + 11x + 23 + 3x + -1 Reorder the terms: 13 + 11x = 12 + 23 + -1 + 11x + 3x Combine like terms: 12 + 23 = 35 13 + 11x = 35 + -1 + 11x + 3x Combine like terms: 35 + -1 = 34 13 + 11x = 34 + 11x + 3x Combine like terms: 11x + 3x = 14x 13 + 11x = 34 + 14x Solving 13 + 11x = 34 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 13 + 11x + -14x = 34 + 14x + -14x Combine like terms: 11x + -14x = -3x 13 + -3x = 34 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + -3x = 34 + 0 13 + -3x = 34 Add '-13' to each side of the equation. 13 + -13 + -3x = 34 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 34 + -13 -3x = 34 + -13 Combine like terms: 34 + -13 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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