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Simplifying 4x + 9x + -63 = 42 + -8x Reorder the terms: -63 + 4x + 9x = 42 + -8x Combine like terms: 4x + 9x = 13x -63 + 13x = 42 + -8x Solving -63 + 13x = 42 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -63 + 13x + 8x = 42 + -8x + 8x Combine like terms: 13x + 8x = 21x -63 + 21x = 42 + -8x + 8x Combine like terms: -8x + 8x = 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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