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Simplifying 4x + -4(2x + 12) = -76 Reorder the terms: 4x + -4(12 + 2x) = -76 4x + (12 * -4 + 2x * -4) = -76 4x + (-48 + -8x) = -76 Reorder the terms: -48 + 4x + -8x = -76 Combine like terms: 4x + -8x = -4x -48 + -4x = -76 Solving -48 + -4x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -4x = -76 + 48 Combine like terms: -48 + 48 = 0 0 + -4x = -76 + 48 -4x = -76 + 48 Combine like terms: -76 + 48 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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