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Simplifying 4x + 10 = 42 + -9x Reorder the terms: 10 + 4x = 42 + -9x Solving 10 + 4x = 42 + -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. 10 + 4x + 9x = 42 + -9x + 9x Combine like terms: 4x + 9x = 13x 10 + 13x = 42 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 13x = 42 + 0 10 + 13x = 42 Add '-10' to each side of the equation. 10 + -10 + 13x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 42 + -10 13x = 42 + -10 Combine like terms: 42 + -10 = 32 13x = 32 Divide each side by '13'. x = 2.461538462 Simplifying x = 2.461538462
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