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Simplifying 4(2x + 9) = -7x + -24 Reorder the terms: 4(9 + 2x) = -7x + -24 (9 * 4 + 2x * 4) = -7x + -24 (36 + 8x) = -7x + -24 Reorder the terms: 36 + 8x = -24 + -7x Solving 36 + 8x = -24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 36 + 8x + 7x = -24 + -7x + 7x Combine like terms: 8x + 7x = 15x 36 + 15x = -24 + -7x + 7x Combine like terms: -7x + 7x = 0 36 + 15x = -24 + 0 36 + 15x = -24 Add '-36' to each side of the equation. 36 + -36 + 15x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = -24 + -36 15x = -24 + -36 Combine like terms: -24 + -36 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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