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Simplifying 3x + 43 = 3 + 7x Reorder the terms: 43 + 3x = 3 + 7x Solving 43 + 3x = 3 + 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 + 3x + -7x = 3 + 7x + -7x Combine like terms: 3x + -7x = -4x 43 + -4x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 43 + -4x = 3 + 0 43 + -4x = 3 Add '-43' to each side of the equation. 43 + -43 + -4x = 3 + -43 Combine like terms: 43 + -43 = 0 0 + -4x = 3 + -43 -4x = 3 + -43 Combine like terms: 3 + -43 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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