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Simplifying 6x + 8x + -42 = 63 + -7x Reorder the terms: -42 + 6x + 8x = 63 + -7x Combine like terms: 6x + 8x = 14x -42 + 14x = 63 + -7x Solving -42 + 14x = 63 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + 14x + 7x = 63 + -7x + 7x Combine like terms: 14x + 7x = 21x -42 + 21x = 63 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 21x = 63 + 0 -42 + 21x = 63 Add '42' to each side of the equation. -42 + 42 + 21x = 63 + 42 Combine like terms: -42 + 42 = 0 0 + 21x = 63 + 42 21x = 63 + 42 Combine like terms: 63 + 42 = 105 21x = 105 Divide each side by '21'. x = 5 Simplifying x = 5
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