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Simplifying 4x + 43 = 5x + 2(2x + 4) Reorder the terms: 43 + 4x = 5x + 2(2x + 4) Reorder the terms: 43 + 4x = 5x + 2(4 + 2x) 43 + 4x = 5x + (4 * 2 + 2x * 2) 43 + 4x = 5x + (8 + 4x) Reorder the terms: 43 + 4x = 8 + 5x + 4x Combine like terms: 5x + 4x = 9x 43 + 4x = 8 + 9x Solving 43 + 4x = 8 + 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 + 4x + -9x = 8 + 9x + -9x Combine like terms: 4x + -9x = -5x 43 + -5x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 43 + -5x = 8 + 0 43 + -5x = 8 Add '-43' to each side of the equation. 43 + -43 + -5x = 8 + -43 Combine like terms: 43 + -43 = 0 0 + -5x = 8 + -43 -5x = 8 + -43 Combine like terms: 8 + -43 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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