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Simplifying 4x + -5 = 38 + 2x + -9 Reorder the terms: -5 + 4x = 38 + 2x + -9 Reorder the terms: -5 + 4x = 38 + -9 + 2x Combine like terms: 38 + -9 = 29 -5 + 4x = 29 + 2x Solving -5 + 4x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 4x + -2x = 29 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = 29 + 0 -5 + 2x = 29 Add '5' to each side of the equation. -5 + 5 + 2x = 29 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 29 + 5 2x = 29 + 5 Combine like terms: 29 + 5 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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