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Simplifying 8(x + 4) = 2(3x + 2) Reorder the terms: 8(4 + x) = 2(3x + 2) (4 * 8 + x * 8) = 2(3x + 2) (32 + 8x) = 2(3x + 2) Reorder the terms: 32 + 8x = 2(2 + 3x) 32 + 8x = (2 * 2 + 3x * 2) 32 + 8x = (4 + 6x) Solving 32 + 8x = 4 + 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 + 8x + -6x = 4 + 6x + -6x Combine like terms: 8x + -6x = 2x 32 + 2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 2x = 4 + 0 32 + 2x = 4 Add '-32' to each side of the equation. 32 + -32 + 2x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 4 + -32 2x = 4 + -32 Combine like terms: 4 + -32 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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