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Simplifying 7(4x + -3) + -3(x + 2) = 173 Reorder the terms: 7(-3 + 4x) + -3(x + 2) = 173 (-3 * 7 + 4x * 7) + -3(x + 2) = 173 (-21 + 28x) + -3(x + 2) = 173 Reorder the terms: -21 + 28x + -3(2 + x) = 173 -21 + 28x + (2 * -3 + x * -3) = 173 -21 + 28x + (-6 + -3x) = 173 Reorder the terms: -21 + -6 + 28x + -3x = 173 Combine like terms: -21 + -6 = -27 -27 + 28x + -3x = 173 Combine like terms: 28x + -3x = 25x -27 + 25x = 173 Solving -27 + 25x = 173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 25x = 173 + 27 Combine like terms: -27 + 27 = 0 0 + 25x = 173 + 27 25x = 173 + 27 Combine like terms: 173 + 27 = 200 25x = 200 Divide each side by '25'. x = 8 Simplifying x = 8
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