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Simplifying -4(x + 3) + 5(x + -7) = 0 Reorder the terms: -4(3 + x) + 5(x + -7) = 0 (3 * -4 + x * -4) + 5(x + -7) = 0 (-12 + -4x) + 5(x + -7) = 0 Reorder the terms: -12 + -4x + 5(-7 + x) = 0 -12 + -4x + (-7 * 5 + x * 5) = 0 -12 + -4x + (-35 + 5x) = 0 Reorder the terms: -12 + -35 + -4x + 5x = 0 Combine like terms: -12 + -35 = -47 -47 + -4x + 5x = 0 Combine like terms: -4x + 5x = 1x -47 + 1x = 0 Solving -47 + 1x = 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 + 1x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = 0 + 47 1x = 0 + 47 Combine like terms: 0 + 47 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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