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Simplifying 7x + -1(9x + 4) = 2x + -24 Reorder the terms: 7x + -1(4 + 9x) = 2x + -24 7x + (4 * -1 + 9x * -1) = 2x + -24 7x + (-4 + -9x) = 2x + -24 Reorder the terms: -4 + 7x + -9x = 2x + -24 Combine like terms: 7x + -9x = -2x -4 + -2x = 2x + -24 Reorder the terms: -4 + -2x = -24 + 2x Solving -4 + -2x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -2x + -2x = -24 + 2x + -2x Combine like terms: -2x + -2x = -4x -4 + -4x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -4x = -24 + 0 -4 + -4x = -24 Add '4' to each side of the equation. -4 + 4 + -4x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -24 + 4 -4x = -24 + 4 Combine like terms: -24 + 4 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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