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Simplifying 43 = 3x + 4x + 1 Reorder the terms: 43 = 1 + 3x + 4x Combine like terms: 3x + 4x = 7x 43 = 1 + 7x Solving 43 = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 43 + -7x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 43 + -7x = 1 + 0 43 + -7x = 1 Add '-43' to each side of the equation. 43 + -43 + -7x = 1 + -43 Combine like terms: 43 + -43 = 0 0 + -7x = 1 + -43 -7x = 1 + -43 Combine like terms: 1 + -43 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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