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Simplifying 3 + 2x = 8(x + -4) Reorder the terms: 3 + 2x = 8(-4 + x) 3 + 2x = (-4 * 8 + x * 8) 3 + 2x = (-32 + 8x) Solving 3 + 2x = -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. 3 + 2x + -8x = -32 + 8x + -8x Combine like terms: 2x + -8x = -6x 3 + -6x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -6x = -32 + 0 3 + -6x = -32 Add '-3' to each side of the equation. 3 + -3 + -6x = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -32 + -3 -6x = -32 + -3 Combine like terms: -32 + -3 = -35 -6x = -35 Divide each side by '-6'. x = 5.833333333 Simplifying x = 5.833333333
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