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Simplifying (x + 6) * 6 = (x + 4) * 4 Reorder the terms: (6 + x) * 6 = (x + 4) * 4 Reorder the terms for easier multiplication: 6(6 + x) = (x + 4) * 4 (6 * 6 + x * 6) = (x + 4) * 4 (36 + 6x) = (x + 4) * 4 Reorder the terms: 36 + 6x = (4 + x) * 4 Reorder the terms for easier multiplication: 36 + 6x = 4(4 + x) 36 + 6x = (4 * 4 + x * 4) 36 + 6x = (16 + 4x) Solving 36 + 6x = 16 + 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. 36 + 6x + -4x = 16 + 4x + -4x Combine like terms: 6x + -4x = 2x 36 + 2x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 2x = 16 + 0 36 + 2x = 16 Add '-36' to each side of the equation. 36 + -36 + 2x = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 16 + -36 2x = 16 + -36 Combine like terms: 16 + -36 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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