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Simplifying 10x + 5x + 7 + -8 = 12x + 3 + 2x Reorder the terms: 7 + -8 + 10x + 5x = 12x + 3 + 2x Combine like terms: 7 + -8 = -1 -1 + 10x + 5x = 12x + 3 + 2x Combine like terms: 10x + 5x = 15x -1 + 15x = 12x + 3 + 2x Reorder the terms: -1 + 15x = 3 + 12x + 2x Combine like terms: 12x + 2x = 14x -1 + 15x = 3 + 14x Solving -1 + 15x = 3 + 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. -1 + 15x + -14x = 3 + 14x + -14x Combine like terms: 15x + -14x = 1x -1 + 1x = 3 + 14x + -14x Combine like terms: 14x + -14x = 0 -1 + 1x = 3 + 0 -1 + 1x = 3 Add '1' to each side of the equation. -1 + 1 + 1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 3 + 1 1x = 3 + 1 Combine like terms: 3 + 1 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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