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Simplifying 6x + -42 + x = 15 + -9x + 5 Reorder the terms: -42 + 6x + x = 15 + -9x + 5 Combine like terms: 6x + x = 7x -42 + 7x = 15 + -9x + 5 Reorder the terms: -42 + 7x = 15 + 5 + -9x Combine like terms: 15 + 5 = 20 -42 + 7x = 20 + -9x Solving -42 + 7x = 20 + -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 + 7x + 9x = 20 + -9x + 9x Combine like terms: 7x + 9x = 16x -42 + 16x = 20 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 16x = 20 + 0 -42 + 16x = 20 Add '42' to each side of the equation. -42 + 42 + 16x = 20 + 42 Combine like terms: -42 + 42 = 0 0 + 16x = 20 + 42 16x = 20 + 42 Combine like terms: 20 + 42 = 62 16x = 62 Divide each side by '16'. x = 3.875 Simplifying x = 3.875
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