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Simplifying 4x + 8x + -42 = 63 + -9x Reorder the terms: -42 + 4x + 8x = 63 + -9x Combine like terms: 4x + 8x = 12x -42 + 12x = 63 + -9x Solving -42 + 12x = 63 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + 12x + 9x = 63 + -9x + 9x Combine like terms: 12x + 9x = 21x -42 + 21x = 63 + -9x + 9x Combine like terms: -9x + 9x = 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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