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Simplifying -7(x + 4) = -2x + -48 Reorder the terms: -7(4 + x) = -2x + -48 (4 * -7 + x * -7) = -2x + -48 (-28 + -7x) = -2x + -48 Reorder the terms: -28 + -7x = -48 + -2x Solving -28 + -7x = -48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + -7x + 2x = -48 + -2x + 2x Combine like terms: -7x + 2x = -5x -28 + -5x = -48 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + -5x = -48 + 0 -28 + -5x = -48 Add '28' to each side of the equation. -28 + 28 + -5x = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = -48 + 28 -5x = -48 + 28 Combine like terms: -48 + 28 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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