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Simplifying 43 = 4(x + 6) + -1 Reorder the terms: 43 = 4(6 + x) + -1 43 = (6 * 4 + x * 4) + -1 43 = (24 + 4x) + -1 Reorder the terms: 43 = 24 + -1 + 4x Combine like terms: 24 + -1 = 23 43 = 23 + 4x Solving 43 = 23 + 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. 43 + -4x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 43 + -4x = 23 + 0 43 + -4x = 23 Add '-43' to each side of the equation. 43 + -43 + -4x = 23 + -43 Combine like terms: 43 + -43 = 0 0 + -4x = 23 + -43 -4x = 23 + -43 Combine like terms: 23 + -43 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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