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Simplifying 15x + -38 = 10x + 278 Reorder the terms: -38 + 15x = 10x + 278 Reorder the terms: -38 + 15x = 278 + 10x Solving -38 + 15x = 278 + 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. -38 + 15x + -10x = 278 + 10x + -10x Combine like terms: 15x + -10x = 5x -38 + 5x = 278 + 10x + -10x Combine like terms: 10x + -10x = 0 -38 + 5x = 278 + 0 -38 + 5x = 278 Add '38' to each side of the equation. -38 + 38 + 5x = 278 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 278 + 38 5x = 278 + 38 Combine like terms: 278 + 38 = 316 5x = 316 Divide each side by '5'. x = 63.2 Simplifying x = 63.2
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