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Simplifying 15x + 48 + -5x + -90 = 8x + 12 + -5x + 44 Reorder the terms: 48 + -90 + 15x + -5x = 8x + 12 + -5x + 44 Combine like terms: 48 + -90 = -42 -42 + 15x + -5x = 8x + 12 + -5x + 44 Combine like terms: 15x + -5x = 10x -42 + 10x = 8x + 12 + -5x + 44 Reorder the terms: -42 + 10x = 12 + 44 + 8x + -5x Combine like terms: 12 + 44 = 56 -42 + 10x = 56 + 8x + -5x Combine like terms: 8x + -5x = 3x -42 + 10x = 56 + 3x Solving -42 + 10x = 56 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + 10x + -3x = 56 + 3x + -3x Combine like terms: 10x + -3x = 7x -42 + 7x = 56 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 7x = 56 + 0 -42 + 7x = 56 Add '42' to each side of the equation. -42 + 42 + 7x = 56 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 56 + 42 7x = 56 + 42 Combine like terms: 56 + 42 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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