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Simplifying 5(x + -2) + -3(x + 7) = 19 Reorder the terms: 5(-2 + x) + -3(x + 7) = 19 (-2 * 5 + x * 5) + -3(x + 7) = 19 (-10 + 5x) + -3(x + 7) = 19 Reorder the terms: -10 + 5x + -3(7 + x) = 19 -10 + 5x + (7 * -3 + x * -3) = 19 -10 + 5x + (-21 + -3x) = 19 Reorder the terms: -10 + -21 + 5x + -3x = 19 Combine like terms: -10 + -21 = -31 -31 + 5x + -3x = 19 Combine like terms: 5x + -3x = 2x -31 + 2x = 19 Solving -31 + 2x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 2x = 19 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 19 + 31 2x = 19 + 31 Combine like terms: 19 + 31 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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