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Simplifying (38 + 6x + -6) * 2 = 7x + -4 Reorder the terms: (38 + -6 + 6x) * 2 = 7x + -4 Combine like terms: 38 + -6 = 32 (32 + 6x) * 2 = 7x + -4 Reorder the terms for easier multiplication: 2(32 + 6x) = 7x + -4 (32 * 2 + 6x * 2) = 7x + -4 (64 + 12x) = 7x + -4 Reorder the terms: 64 + 12x = -4 + 7x Solving 64 + 12x = -4 + 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. 64 + 12x + -7x = -4 + 7x + -7x Combine like terms: 12x + -7x = 5x 64 + 5x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 64 + 5x = -4 + 0 64 + 5x = -4 Add '-64' to each side of the equation. 64 + -64 + 5x = -4 + -64 Combine like terms: 64 + -64 = 0 0 + 5x = -4 + -64 5x = -4 + -64 Combine like terms: -4 + -64 = -68 5x = -68 Divide each side by '5'. x = -13.6 Simplifying x = -13.6
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