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Simplifying 15x + -10 + 4 = 10x + -2 + 1 Reorder the terms: -10 + 4 + 15x = 10x + -2 + 1 Combine like terms: -10 + 4 = -6 -6 + 15x = 10x + -2 + 1 Reorder the terms: -6 + 15x = -2 + 1 + 10x Combine like terms: -2 + 1 = -1 -6 + 15x = -1 + 10x Solving -6 + 15x = -1 + 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. -6 + 15x + -10x = -1 + 10x + -10x Combine like terms: 15x + -10x = 5x -6 + 5x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 5x = -1 + 0 -6 + 5x = -1 Add '6' to each side of the equation. -6 + 6 + 5x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -1 + 6 5x = -1 + 6 Combine like terms: -1 + 6 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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