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Simplifying 6x + 8x + 63 = 105 + -7x Reorder the terms: 63 + 6x + 8x = 105 + -7x Combine like terms: 6x + 8x = 14x 63 + 14x = 105 + -7x Solving 63 + 14x = 105 + -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. 63 + 14x + 7x = 105 + -7x + 7x Combine like terms: 14x + 7x = 21x 63 + 21x = 105 + -7x + 7x Combine like terms: -7x + 7x = 0 63 + 21x = 105 + 0 63 + 21x = 105 Add '-63' to each side of the equation. 63 + -63 + 21x = 105 + -63 Combine like terms: 63 + -63 = 0 0 + 21x = 105 + -63 21x = 105 + -63 Combine like terms: 105 + -63 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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