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Simplifying 3(2 + 3x) = 8(x + -4) (2 * 3 + 3x * 3) = 8(x + -4) (6 + 9x) = 8(x + -4) Reorder the terms: 6 + 9x = 8(-4 + x) 6 + 9x = (-4 * 8 + x * 8) 6 + 9x = (-32 + 8x) Solving 6 + 9x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 9x + -8x = -32 + 8x + -8x Combine like terms: 9x + -8x = 1x 6 + 1x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 1x = -32 + 0 6 + 1x = -32 Add '-6' to each side of the equation. 6 + -6 + 1x = -32 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -32 + -6 1x = -32 + -6 Combine like terms: -32 + -6 = -38 1x = -38 Divide each side by '1'. x = -38 Simplifying x = -38
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