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Simplifying -4(x + 7) + -42 = 2 + -52 Reorder the terms: -4(7 + x) + -42 = 2 + -52 (7 * -4 + x * -4) + -42 = 2 + -52 (-28 + -4x) + -42 = 2 + -52 Reorder the terms: -28 + -42 + -4x = 2 + -52 Combine like terms: -28 + -42 = -70 -70 + -4x = 2 + -52 Combine like terms: 2 + -52 = -50 -70 + -4x = -50 Solving -70 + -4x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -4x = -50 + 70 Combine like terms: -70 + 70 = 0 0 + -4x = -50 + 70 -4x = -50 + 70 Combine like terms: -50 + 70 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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