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Simplifying 43 = 5x + 4(x + -5) Reorder the terms: 43 = 5x + 4(-5 + x) 43 = 5x + (-5 * 4 + x * 4) 43 = 5x + (-20 + 4x) Reorder the terms: 43 = -20 + 5x + 4x Combine like terms: 5x + 4x = 9x 43 = -20 + 9x Solving 43 = -20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 43 + -9x = -20 + 9x + -9x Combine like terms: 9x + -9x = 0 43 + -9x = -20 + 0 43 + -9x = -20 Add '-43' to each side of the equation. 43 + -43 + -9x = -20 + -43 Combine like terms: 43 + -43 = 0 0 + -9x = -20 + -43 -9x = -20 + -43 Combine like terms: -20 + -43 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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