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Simplifying (7 + 2x) * 3 = 5 + (-2x) Reorder the terms for easier multiplication: 3(7 + 2x) = 5 + (-2x) (7 * 3 + 2x * 3) = 5 + (-2x) (21 + 6x) = 5 + (-2x) Solving 21 + 6x = 5 + (-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. 21 + 6x + (2x) = 5 + (-2x) + (2x) Combine like terms: 6x + (2x) = 8x 21 + 8x = 5 + (-2x) + (2x) Combine like terms: (-2x) + (2x) = 0 21 + 8x = 5 + 0 21 + 8x = 5 Add '-21' to each side of the equation. 21 + -21 + 8x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 5 + -21 8x = 5 + -21 Combine like terms: 5 + -21 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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