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Simplifying 3(2 + x) = 8(x + -2) (2 * 3 + x * 3) = 8(x + -2) (6 + 3x) = 8(x + -2) Reorder the terms: 6 + 3x = 8(-2 + x) 6 + 3x = (-2 * 8 + x * 8) 6 + 3x = (-16 + 8x) Solving 6 + 3x = -16 + 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 + 3x + -8x = -16 + 8x + -8x Combine like terms: 3x + -8x = -5x 6 + -5x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -5x = -16 + 0 6 + -5x = -16 Add '-6' to each side of the equation. 6 + -6 + -5x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -16 + -6 -5x = -16 + -6 Combine like terms: -16 + -6 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4
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