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Simplifying -8(4 + 9x) = 7(-2 + x) (4 * -8 + 9x * -8) = 7(-2 + x) (-32 + -72x) = 7(-2 + x) -32 + -72x = (-2 * 7 + x * 7) -32 + -72x = (-14 + 7x) Solving -32 + -72x = -14 + 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. -32 + -72x + -7x = -14 + 7x + -7x Combine like terms: -72x + -7x = -79x -32 + -79x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + -79x = -14 + 0 -32 + -79x = -14 Add '32' to each side of the equation. -32 + 32 + -79x = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -79x = -14 + 32 -79x = -14 + 32 Combine like terms: -14 + 32 = 18 -79x = 18 Divide each side by '-79'. x = -0.2278481013 Simplifying x = -0.2278481013
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