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Simplifying 3x + -13 + 3x + -10 = 12x + -6 Reorder the terms: -13 + -10 + 3x + 3x = 12x + -6 Combine like terms: -13 + -10 = -23 -23 + 3x + 3x = 12x + -6 Combine like terms: 3x + 3x = 6x -23 + 6x = 12x + -6 Reorder the terms: -23 + 6x = -6 + 12x Solving -23 + 6x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + 6x + -12x = -6 + 12x + -12x Combine like terms: 6x + -12x = -6x -23 + -6x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + -6x = -6 + 0 -23 + -6x = -6 Add '23' to each side of the equation. -23 + 23 + -6x = -6 + 23 Combine like terms: -23 + 23 = 0 0 + -6x = -6 + 23 -6x = -6 + 23 Combine like terms: -6 + 23 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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