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Simplifying 4(4x + 1) = 3x + -6(6 + -1x) + 8 Reorder the terms: 4(1 + 4x) = 3x + -6(6 + -1x) + 8 (1 * 4 + 4x * 4) = 3x + -6(6 + -1x) + 8 (4 + 16x) = 3x + -6(6 + -1x) + 8 4 + 16x = 3x + (6 * -6 + -1x * -6) + 8 4 + 16x = 3x + (-36 + 6x) + 8 Reorder the terms: 4 + 16x = -36 + 8 + 3x + 6x Combine like terms: -36 + 8 = -28 4 + 16x = -28 + 3x + 6x Combine like terms: 3x + 6x = 9x 4 + 16x = -28 + 9x Solving 4 + 16x = -28 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 16x + -9x = -28 + 9x + -9x Combine like terms: 16x + -9x = 7x 4 + 7x = -28 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 7x = -28 + 0 4 + 7x = -28 Add '-4' to each side of the equation. 4 + -4 + 7x = -28 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -28 + -4 7x = -28 + -4 Combine like terms: -28 + -4 = -32 7x = -32 Divide each side by '7'. x = -4.571428571 Simplifying x = -4.571428571
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