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Simplifying 5x + 9x + -63 = 105 + -7x Reorder the terms: -63 + 5x + 9x = 105 + -7x Combine like terms: 5x + 9x = 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 = 168 21x = 168 Divide each side by '21'. x = 8 Simplifying x = 8
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