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Simplifying -39 + 42 + 10x + 12x + -9x + -4x = 42 + -4x Combine like terms: -39 + 42 = 3 3 + 10x + 12x + -9x + -4x = 42 + -4x Combine like terms: 10x + 12x = 22x 3 + 22x + -9x + -4x = 42 + -4x Combine like terms: 22x + -9x = 13x 3 + 13x + -4x = 42 + -4x Combine like terms: 13x + -4x = 9x 3 + 9x = 42 + -4x Solving 3 + 9x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 9x + 4x = 42 + -4x + 4x Combine like terms: 9x + 4x = 13x 3 + 13x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 13x = 42 + 0 3 + 13x = 42 Add '-3' to each side of the equation. 3 + -3 + 13x = 42 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 42 + -3 13x = 42 + -3 Combine like terms: 42 + -3 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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