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Simplifying 43 = 3(x + 1) + 2x Reorder the terms: 43 = 3(1 + x) + 2x 43 = (1 * 3 + x * 3) + 2x 43 = (3 + 3x) + 2x Combine like terms: 3x + 2x = 5x 43 = 3 + 5x Solving 43 = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 43 + -5x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -5x = 3 + 0 43 + -5x = 3 Add '-43' to each side of the equation. 43 + -43 + -5x = 3 + -43 Combine like terms: 43 + -43 = 0 0 + -5x = 3 + -43 -5x = 3 + -43 Combine like terms: 3 + -43 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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