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Simplifying 6x + 38 + -4x = 43 + -4x + 7 Reorder the terms: 38 + 6x + -4x = 43 + -4x + 7 Combine like terms: 6x + -4x = 2x 38 + 2x = 43 + -4x + 7 Reorder the terms: 38 + 2x = 43 + 7 + -4x Combine like terms: 43 + 7 = 50 38 + 2x = 50 + -4x Solving 38 + 2x = 50 + -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. 38 + 2x + 4x = 50 + -4x + 4x Combine like terms: 2x + 4x = 6x 38 + 6x = 50 + -4x + 4x Combine like terms: -4x + 4x = 0 38 + 6x = 50 + 0 38 + 6x = 50 Add '-38' to each side of the equation. 38 + -38 + 6x = 50 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = 50 + -38 6x = 50 + -38 Combine like terms: 50 + -38 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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