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Simplifying 10x + 77 + 5x + -119 = 5x + -63 + 4x + 51 Reorder the terms: 77 + -119 + 10x + 5x = 5x + -63 + 4x + 51 Combine like terms: 77 + -119 = -42 -42 + 10x + 5x = 5x + -63 + 4x + 51 Combine like terms: 10x + 5x = 15x -42 + 15x = 5x + -63 + 4x + 51 Reorder the terms: -42 + 15x = -63 + 51 + 5x + 4x Combine like terms: -63 + 51 = -12 -42 + 15x = -12 + 5x + 4x Combine like terms: 5x + 4x = 9x -42 + 15x = -12 + 9x Solving -42 + 15x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 15x + -9x = -12 + 9x + -9x Combine like terms: 15x + -9x = 6x -42 + 6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + 6x = -12 + 0 -42 + 6x = -12 Add '42' to each side of the equation. -42 + 42 + 6x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -12 + 42 6x = -12 + 42 Combine like terms: -12 + 42 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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