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Simplifying 2(8x + -5) = 2(3x + 20) Reorder the terms: 2(-5 + 8x) = 2(3x + 20) (-5 * 2 + 8x * 2) = 2(3x + 20) (-10 + 16x) = 2(3x + 20) Reorder the terms: -10 + 16x = 2(20 + 3x) -10 + 16x = (20 * 2 + 3x * 2) -10 + 16x = (40 + 6x) Solving -10 + 16x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 16x + -6x = 40 + 6x + -6x Combine like terms: 16x + -6x = 10x -10 + 10x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 10x = 40 + 0 -10 + 10x = 40 Add '10' to each side of the equation. -10 + 10 + 10x = 40 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 40 + 10 10x = 40 + 10 Combine like terms: 40 + 10 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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