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Simplifying 3 + 15x + -2 = 8x + 105 + -6x Reorder the terms: 3 + -2 + 15x = 8x + 105 + -6x Combine like terms: 3 + -2 = 1 1 + 15x = 8x + 105 + -6x Reorder the terms: 1 + 15x = 105 + 8x + -6x Combine like terms: 8x + -6x = 2x 1 + 15x = 105 + 2x Solving 1 + 15x = 105 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 15x + -2x = 105 + 2x + -2x Combine like terms: 15x + -2x = 13x 1 + 13x = 105 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 13x = 105 + 0 1 + 13x = 105 Add '-1' to each side of the equation. 1 + -1 + 13x = 105 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 105 + -1 13x = 105 + -1 Combine like terms: 105 + -1 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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