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Simplifying 43 = 4(2x + 5) + -1 Reorder the terms: 43 = 4(5 + 2x) + -1 43 = (5 * 4 + 2x * 4) + -1 43 = (20 + 8x) + -1 Reorder the terms: 43 = 20 + -1 + 8x Combine like terms: 20 + -1 = 19 43 = 19 + 8x Solving 43 = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 43 + -8x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 43 + -8x = 19 + 0 43 + -8x = 19 Add '-43' to each side of the equation. 43 + -43 + -8x = 19 + -43 Combine like terms: 43 + -43 = 0 0 + -8x = 19 + -43 -8x = 19 + -43 Combine like terms: 19 + -43 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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