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Simplifying 7x + 28 + 8x + -48 = 10x + 15 Reorder the terms: 28 + -48 + 7x + 8x = 10x + 15 Combine like terms: 28 + -48 = -20 -20 + 7x + 8x = 10x + 15 Combine like terms: 7x + 8x = 15x -20 + 15x = 10x + 15 Reorder the terms: -20 + 15x = 15 + 10x Solving -20 + 15x = 15 + 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. -20 + 15x + -10x = 15 + 10x + -10x Combine like terms: 15x + -10x = 5x -20 + 5x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + 5x = 15 + 0 -20 + 5x = 15 Add '20' to each side of the equation. -20 + 20 + 5x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 15 + 20 5x = 15 + 20 Combine like terms: 15 + 20 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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