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Simplifying 8(4 + 2x) = 2(3x + 1) (4 * 8 + 2x * 8) = 2(3x + 1) (32 + 16x) = 2(3x + 1) Reorder the terms: 32 + 16x = 2(1 + 3x) 32 + 16x = (1 * 2 + 3x * 2) 32 + 16x = (2 + 6x) Solving 32 + 16x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + 16x + -6x = 2 + 6x + -6x Combine like terms: 16x + -6x = 10x 32 + 10x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 10x = 2 + 0 32 + 10x = 2 Add '-32' to each side of the equation. 32 + -32 + 10x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = 2 + -32 10x = 2 + -32 Combine like terms: 2 + -32 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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