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Simplifying -3(1 + 6x) = 4(4x + 8) + x (1 * -3 + 6x * -3) = 4(4x + 8) + x (-3 + -18x) = 4(4x + 8) + x Reorder the terms: -3 + -18x = 4(8 + 4x) + x -3 + -18x = (8 * 4 + 4x * 4) + x -3 + -18x = (32 + 16x) + x Combine like terms: 16x + x = 17x -3 + -18x = 32 + 17x Solving -3 + -18x = 32 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -3 + -18x + -17x = 32 + 17x + -17x Combine like terms: -18x + -17x = -35x -3 + -35x = 32 + 17x + -17x Combine like terms: 17x + -17x = 0 -3 + -35x = 32 + 0 -3 + -35x = 32 Add '3' to each side of the equation. -3 + 3 + -35x = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -35x = 32 + 3 -35x = 32 + 3 Combine like terms: 32 + 3 = 35 -35x = 35 Divide each side by '-35'. x = -1 Simplifying x = -1
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