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Simplifying 5x + -43 = 2(x + 40) Reorder the terms: -43 + 5x = 2(x + 40) Reorder the terms: -43 + 5x = 2(40 + x) -43 + 5x = (40 * 2 + x * 2) -43 + 5x = (80 + 2x) Solving -43 + 5x = 80 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -43 + 5x + -2x = 80 + 2x + -2x Combine like terms: 5x + -2x = 3x -43 + 3x = 80 + 2x + -2x Combine like terms: 2x + -2x = 0 -43 + 3x = 80 + 0 -43 + 3x = 80 Add '43' to each side of the equation. -43 + 43 + 3x = 80 + 43 Combine like terms: -43 + 43 = 0 0 + 3x = 80 + 43 3x = 80 + 43 Combine like terms: 80 + 43 = 123 3x = 123 Divide each side by '3'. x = 41 Simplifying x = 41
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