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Simplifying 3x + 12 = 105 + -10x Reorder the terms: 12 + 3x = 105 + -10x Solving 12 + 3x = 105 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + 3x + 10x = 105 + -10x + 10x Combine like terms: 3x + 10x = 13x 12 + 13x = 105 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 13x = 105 + 0 12 + 13x = 105 Add '-12' to each side of the equation. 12 + -12 + 13x = 105 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 105 + -12 13x = 105 + -12 Combine like terms: 105 + -12 = 93 13x = 93 Divide each side by '13'. x = 7.153846154 Simplifying x = 7.153846154
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