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Simplifying 7x + 8x + -63 = 84 + -6x Reorder the terms: -63 + 7x + 8x = 84 + -6x Combine like terms: 7x + 8x = 15x -63 + 15x = 84 + -6x Solving -63 + 15x = 84 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -63 + 15x + 6x = 84 + -6x + 6x Combine like terms: 15x + 6x = 21x -63 + 21x = 84 + -6x + 6x Combine like terms: -6x + 6x = 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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