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Simplifying 15x + -10 = 6x + 8x + 7 Reorder the terms: -10 + 15x = 6x + 8x + 7 Reorder the terms: -10 + 15x = 7 + 6x + 8x Combine like terms: 6x + 8x = 14x -10 + 15x = 7 + 14x Solving -10 + 15x = 7 + 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. -10 + 15x + -14x = 7 + 14x + -14x Combine like terms: 15x + -14x = 1x -10 + 1x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + 1x = 7 + 0 -10 + 1x = 7 Add '10' to each side of the equation. -10 + 10 + 1x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 7 + 10 1x = 7 + 10 Combine like terms: 7 + 10 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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