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Simplifying (8 + 2x) * 4 = 7 + 3x Reorder the terms for easier multiplication: 4(8 + 2x) = 7 + 3x (8 * 4 + 2x * 4) = 7 + 3x (32 + 8x) = 7 + 3x Solving 32 + 8x = 7 + 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. 32 + 8x + -3x = 7 + 3x + -3x Combine like terms: 8x + -3x = 5x 32 + 5x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 5x = 7 + 0 32 + 5x = 7 Add '-32' to each side of the equation. 32 + -32 + 5x = 7 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 7 + -32 5x = 7 + -32 Combine like terms: 7 + -32 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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