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Simplifying 43 = 4(x + 1) + 2x Reorder the terms: 43 = 4(1 + x) + 2x 43 = (1 * 4 + x * 4) + 2x 43 = (4 + 4x) + 2x Combine like terms: 4x + 2x = 6x 43 = 4 + 6x Solving 43 = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 43 + -6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + -6x = 4 + 0 43 + -6x = 4 Add '-43' to each side of the equation. 43 + -43 + -6x = 4 + -43 Combine like terms: 43 + -43 = 0 0 + -6x = 4 + -43 -6x = 4 + -43 Combine like terms: 4 + -43 = -39 -6x = -39 Divide each side by '-6'. x = 6.5 Simplifying x = 6.5
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