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Simplifying -7(x + 5) + -42 = 3 + -24 Reorder the terms: -7(5 + x) + -42 = 3 + -24 (5 * -7 + x * -7) + -42 = 3 + -24 (-35 + -7x) + -42 = 3 + -24 Reorder the terms: -35 + -42 + -7x = 3 + -24 Combine like terms: -35 + -42 = -77 -77 + -7x = 3 + -24 Combine like terms: 3 + -24 = -21 -77 + -7x = -21 Solving -77 + -7x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -7x = -21 + 77 Combine like terms: -77 + 77 = 0 0 + -7x = -21 + 77 -7x = -21 + 77 Combine like terms: -21 + 77 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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