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Simplifying (9x + -7) + 5(x + 4) = 43 Reorder the terms: (-7 + 9x) + 5(x + 4) = 43 Remove parenthesis around (-7 + 9x) -7 + 9x + 5(x + 4) = 43 Reorder the terms: -7 + 9x + 5(4 + x) = 43 -7 + 9x + (4 * 5 + x * 5) = 43 -7 + 9x + (20 + 5x) = 43 Reorder the terms: -7 + 20 + 9x + 5x = 43 Combine like terms: -7 + 20 = 13 13 + 9x + 5x = 43 Combine like terms: 9x + 5x = 14x 13 + 14x = 43 Solving 13 + 14x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 14x = 43 + -13 Combine like terms: 13 + -13 = 0 0 + 14x = 43 + -13 14x = 43 + -13 Combine like terms: 43 + -13 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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