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Simplifying 5(x + -7) + -3(x + 4) = 0 Reorder the terms: 5(-7 + x) + -3(x + 4) = 0 (-7 * 5 + x * 5) + -3(x + 4) = 0 (-35 + 5x) + -3(x + 4) = 0 Reorder the terms: -35 + 5x + -3(4 + x) = 0 -35 + 5x + (4 * -3 + x * -3) = 0 -35 + 5x + (-12 + -3x) = 0 Reorder the terms: -35 + -12 + 5x + -3x = 0 Combine like terms: -35 + -12 = -47 -47 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -47 + 2x = 0 Solving -47 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 2x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 2x = 0 + 47 2x = 0 + 47 Combine like terms: 0 + 47 = 47 2x = 47 Divide each side by '2'. x = 23.5 Simplifying x = 23.5
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