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Simplifying 43 = -5x + 4(3x + 2) Reorder the terms: 43 = -5x + 4(2 + 3x) 43 = -5x + (2 * 4 + 3x * 4) 43 = -5x + (8 + 12x) Reorder the terms: 43 = 8 + -5x + 12x Combine like terms: -5x + 12x = 7x 43 = 8 + 7x Solving 43 = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 43 + -7x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 43 + -7x = 8 + 0 43 + -7x = 8 Add '-43' to each side of the equation. 43 + -43 + -7x = 8 + -43 Combine like terms: 43 + -43 = 0 0 + -7x = 8 + -43 -7x = 8 + -43 Combine like terms: 8 + -43 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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