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Simplifying (-5x + 1) + 2x + 1 = 43 Reorder the terms: (1 + -5x) + 2x + 1 = 43 Remove parenthesis around (1 + -5x) 1 + -5x + 2x + 1 = 43 Reorder the terms: 1 + 1 + -5x + 2x = 43 Combine like terms: 1 + 1 = 2 2 + -5x + 2x = 43 Combine like terms: -5x + 2x = -3x 2 + -3x = 43 Solving 2 + -3x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 43 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 43 + -2 -3x = 43 + -2 Combine like terms: 43 + -2 = 41 -3x = 41 Divide each side by '-3'. x = -13.66666667 Simplifying x = -13.66666667
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