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Simplifying (9 + 2x) * 2 = 4 + (-3x) Reorder the terms for easier multiplication: 2(9 + 2x) = 4 + (-3x) (9 * 2 + 2x * 2) = 4 + (-3x) (18 + 4x) = 4 + (-3x) Solving 18 + 4x = 4 + (-3x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(3x)' to each side of the equation. 18 + 4x + (3x) = 4 + (-3x) + (3x) Combine like terms: 4x + (3x) = 7x 18 + 7x = 4 + (-3x) + (3x) Combine like terms: (-3x) + (3x) = 0 18 + 7x = 4 + 0 18 + 7x = 4 Add '-18' to each side of the equation. 18 + -18 + 7x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 4 + -18 7x = 4 + -18 Combine like terms: 4 + -18 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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