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Simplifying 6x + 9x + -63 = 42 + -6x Reorder the terms: -63 + 6x + 9x = 42 + -6x Combine like terms: 6x + 9x = 15x -63 + 15x = 42 + -6x Solving -63 + 15x = 42 + -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 = 42 + -6x + 6x Combine like terms: 15x + 6x = 21x -63 + 21x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -63 + 21x = 42 + 0 -63 + 21x = 42 Add '63' to each side of the equation. -63 + 63 + 21x = 42 + 63 Combine like terms: -63 + 63 = 0 0 + 21x = 42 + 63 21x = 42 + 63 Combine like terms: 42 + 63 = 105 21x = 105 Divide each side by '21'. x = 5 Simplifying x = 5
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