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Simplifying 4 + 4(4x + 1) = -32 + 6x Reorder the terms: 4 + 4(1 + 4x) = -32 + 6x 4 + (1 * 4 + 4x * 4) = -32 + 6x 4 + (4 + 16x) = -32 + 6x Combine like terms: 4 + 4 = 8 8 + 16x = -32 + 6x Solving 8 + 16x = -32 + 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. 8 + 16x + -6x = -32 + 6x + -6x Combine like terms: 16x + -6x = 10x 8 + 10x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 10x = -32 + 0 8 + 10x = -32 Add '-8' to each side of the equation. 8 + -8 + 10x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -32 + -8 10x = -32 + -8 Combine like terms: -32 + -8 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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