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Simplifying 4(2x + 8) = -2 + 3(2x + 6) Reorder the terms: 4(8 + 2x) = -2 + 3(2x + 6) (8 * 4 + 2x * 4) = -2 + 3(2x + 6) (32 + 8x) = -2 + 3(2x + 6) Reorder the terms: 32 + 8x = -2 + 3(6 + 2x) 32 + 8x = -2 + (6 * 3 + 2x * 3) 32 + 8x = -2 + (18 + 6x) Combine like terms: -2 + 18 = 16 32 + 8x = 16 + 6x Solving 32 + 8x = 16 + 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 = 16 + 6x + -6x Combine like terms: 8x + -6x = 2x 32 + 2x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 2x = 16 + 0 32 + 2x = 16 Add '-32' to each side of the equation. 32 + -32 + 2x = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 16 + -32 2x = 16 + -32 Combine like terms: 16 + -32 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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