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Simplifying 4x + 1 = -4(x + 8) Reorder the terms: 1 + 4x = -4(x + 8) Reorder the terms: 1 + 4x = -4(8 + x) 1 + 4x = (8 * -4 + x * -4) 1 + 4x = (-32 + -4x) Solving 1 + 4x = -32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 4x + 4x = -32 + -4x + 4x Combine like terms: 4x + 4x = 8x 1 + 8x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 8x = -32 + 0 1 + 8x = -32 Add '-1' to each side of the equation. 1 + -1 + 8x = -32 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -32 + -1 8x = -32 + -1 Combine like terms: -32 + -1 = -33 8x = -33 Divide each side by '8'. x = -4.125 Simplifying x = -4.125
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