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Simplifying 4x + -4(5x + -13) = -76 Reorder the terms: 4x + -4(-13 + 5x) = -76 4x + (-13 * -4 + 5x * -4) = -76 4x + (52 + -20x) = -76 Reorder the terms: 52 + 4x + -20x = -76 Combine like terms: 4x + -20x = -16x 52 + -16x = -76 Solving 52 + -16x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -16x = -76 + -52 Combine like terms: 52 + -52 = 0 0 + -16x = -76 + -52 -16x = -76 + -52 Combine like terms: -76 + -52 = -128 -16x = -128 Divide each side by '-16'. x = 8 Simplifying x = 8
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