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Simplifying (5 + 2x) * 2 = x * -4 + 2 Reorder the terms for easier multiplication: 2(5 + 2x) = x * -4 + 2 (5 * 2 + 2x * 2) = x * -4 + 2 (10 + 4x) = x * -4 + 2 Reorder the terms for easier multiplication: 10 + 4x = -4x + 2 Reorder the terms: 10 + 4x = 2 + -4x Solving 10 + 4x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 4x + 4x = 2 + -4x + 4x Combine like terms: 4x + 4x = 8x 10 + 8x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 8x = 2 + 0 10 + 8x = 2 Add '-10' to each side of the equation. 10 + -10 + 8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 2 + -10 8x = 2 + -10 Combine like terms: 2 + -10 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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