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Simplifying 7(x + 3) = -8x + -24 Reorder the terms: 7(3 + x) = -8x + -24 (3 * 7 + x * 7) = -8x + -24 (21 + 7x) = -8x + -24 Reorder the terms: 21 + 7x = -24 + -8x Solving 21 + 7x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 21 + 7x + 8x = -24 + -8x + 8x Combine like terms: 7x + 8x = 15x 21 + 15x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 15x = -24 + 0 21 + 15x = -24 Add '-21' to each side of the equation. 21 + -21 + 15x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 15x = -24 + -21 15x = -24 + -21 Combine like terms: -24 + -21 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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