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Simplifying 15x + -126 = 13x + 10 + -6x Reorder the terms: -126 + 15x = 13x + 10 + -6x Reorder the terms: -126 + 15x = 10 + 13x + -6x Combine like terms: 13x + -6x = 7x -126 + 15x = 10 + 7x Solving -126 + 15x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -126 + 15x + -7x = 10 + 7x + -7x Combine like terms: 15x + -7x = 8x -126 + 8x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -126 + 8x = 10 + 0 -126 + 8x = 10 Add '126' to each side of the equation. -126 + 126 + 8x = 10 + 126 Combine like terms: -126 + 126 = 0 0 + 8x = 10 + 126 8x = 10 + 126 Combine like terms: 10 + 126 = 136 8x = 136 Divide each side by '8'. x = 17 Simplifying x = 17
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