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