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Simplifying 8(3x + 2) = 35x + 16 + -5x + 20 Reorder the terms: 8(2 + 3x) = 35x + 16 + -5x + 20 (2 * 8 + 3x * 8) = 35x + 16 + -5x + 20 (16 + 24x) = 35x + 16 + -5x + 20 Reorder the terms: 16 + 24x = 16 + 20 + 35x + -5x Combine like terms: 16 + 20 = 36 16 + 24x = 36 + 35x + -5x Combine like terms: 35x + -5x = 30x 16 + 24x = 36 + 30x Solving 16 + 24x = 36 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 16 + 24x + -30x = 36 + 30x + -30x Combine like terms: 24x + -30x = -6x 16 + -6x = 36 + 30x + -30x Combine like terms: 30x + -30x = 0 16 + -6x = 36 + 0 16 + -6x = 36 Add '-16' to each side of the equation. 16 + -16 + -6x = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 36 + -16 -6x = 36 + -16 Combine like terms: 36 + -16 = 20 -6x = 20 Divide each side by '-6'. x = -3.333333333 Simplifying x = -3.333333333
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