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Simplifying 4(-7 + -6x) + 24 = -52 (-7 * 4 + -6x * 4) + 24 = -52 (-28 + -24x) + 24 = -52 Reorder the terms: -28 + 24 + -24x = -52 Combine like terms: -28 + 24 = -4 -4 + -24x = -52 Solving -4 + -24x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -24x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -24x = -52 + 4 -24x = -52 + 4 Combine like terms: -52 + 4 = -48 -24x = -48 Divide each side by '-24'. x = 2 Simplifying x = 2
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