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Simplifying 4(4x + 1) = 3x + -4(6 + -1x) + -8 Reorder the terms: 4(1 + 4x) = 3x + -4(6 + -1x) + -8 (1 * 4 + 4x * 4) = 3x + -4(6 + -1x) + -8 (4 + 16x) = 3x + -4(6 + -1x) + -8 4 + 16x = 3x + (6 * -4 + -1x * -4) + -8 4 + 16x = 3x + (-24 + 4x) + -8 Reorder the terms: 4 + 16x = -24 + -8 + 3x + 4x Combine like terms: -24 + -8 = -32 4 + 16x = -32 + 3x + 4x Combine like terms: 3x + 4x = 7x 4 + 16x = -32 + 7x Solving 4 + 16x = -32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 16x + -7x = -32 + 7x + -7x Combine like terms: 16x + -7x = 9x 4 + 9x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 9x = -32 + 0 4 + 9x = -32 Add '-4' to each side of the equation. 4 + -4 + 9x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -32 + -4 9x = -32 + -4 Combine like terms: -32 + -4 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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