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Simplifying 6x + 8x + -63 = 84 + -7x Reorder the terms: -63 + 6x + 8x = 84 + -7x Combine like terms: 6x + 8x = 14x -63 + 14x = 84 + -7x Solving -63 + 14x = 84 + -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 = 84 + -7x + 7x Combine like terms: 14x + 7x = 21x -63 + 21x = 84 + -7x + 7x Combine like terms: -7x + 7x = 0 -63 + 21x = 84 + 0 -63 + 21x = 84 Add '63' to each side of the equation. -63 + 63 + 21x = 84 + 63 Combine like terms: -63 + 63 = 0 0 + 21x = 84 + 63 21x = 84 + 63 Combine like terms: 84 + 63 = 147 21x = 147 Divide each side by '21'. x = 7 Simplifying x = 7
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