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Simplifying 3(2x + -5) + -16 = 20 + 3x Reorder the terms: 3(-5 + 2x) + -16 = 20 + 3x (-5 * 3 + 2x * 3) + -16 = 20 + 3x (-15 + 6x) + -16 = 20 + 3x Reorder the terms: -15 + -16 + 6x = 20 + 3x Combine like terms: -15 + -16 = -31 -31 + 6x = 20 + 3x Solving -31 + 6x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -31 + 6x + -3x = 20 + 3x + -3x Combine like terms: 6x + -3x = 3x -31 + 3x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 3x = 20 + 0 -31 + 3x = 20 Add '31' to each side of the equation. -31 + 31 + 3x = 20 + 31 Combine like terms: -31 + 31 = 0 0 + 3x = 20 + 31 3x = 20 + 31 Combine like terms: 20 + 31 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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