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Simplifying 5(x + -7) + -3(x + -4) = -13 Reorder the terms: 5(-7 + x) + -3(x + -4) = -13 (-7 * 5 + x * 5) + -3(x + -4) = -13 (-35 + 5x) + -3(x + -4) = -13 Reorder the terms: -35 + 5x + -3(-4 + x) = -13 -35 + 5x + (-4 * -3 + x * -3) = -13 -35 + 5x + (12 + -3x) = -13 Reorder the terms: -35 + 12 + 5x + -3x = -13 Combine like terms: -35 + 12 = -23 -23 + 5x + -3x = -13 Combine like terms: 5x + -3x = 2x -23 + 2x = -13 Solving -23 + 2x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 2x = -13 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -13 + 23 2x = -13 + 23 Combine like terms: -13 + 23 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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