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Simplifying -2(x + 3) = 7x + -24 Reorder the terms: -2(3 + x) = 7x + -24 (3 * -2 + x * -2) = 7x + -24 (-6 + -2x) = 7x + -24 Reorder the terms: -6 + -2x = -24 + 7x Solving -6 + -2x = -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. -6 + -2x + -7x = -24 + 7x + -7x Combine like terms: -2x + -7x = -9x -6 + -9x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -9x = -24 + 0 -6 + -9x = -24 Add '6' to each side of the equation. -6 + 6 + -9x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -24 + 6 -9x = -24 + 6 Combine like terms: -24 + 6 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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