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Simplifying 3x + -43 = 4(5x + 2) Reorder the terms: -43 + 3x = 4(5x + 2) Reorder the terms: -43 + 3x = 4(2 + 5x) -43 + 3x = (2 * 4 + 5x * 4) -43 + 3x = (8 + 20x) Solving -43 + 3x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -43 + 3x + -20x = 8 + 20x + -20x Combine like terms: 3x + -20x = -17x -43 + -17x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 -43 + -17x = 8 + 0 -43 + -17x = 8 Add '43' to each side of the equation. -43 + 43 + -17x = 8 + 43 Combine like terms: -43 + 43 = 0 0 + -17x = 8 + 43 -17x = 8 + 43 Combine like terms: 8 + 43 = 51 -17x = 51 Divide each side by '-17'. x = -3 Simplifying x = -3
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