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Simplifying 2(3x + -8) = 2(2x + -5) Reorder the terms: 2(-8 + 3x) = 2(2x + -5) (-8 * 2 + 3x * 2) = 2(2x + -5) (-16 + 6x) = 2(2x + -5) Reorder the terms: -16 + 6x = 2(-5 + 2x) -16 + 6x = (-5 * 2 + 2x * 2) -16 + 6x = (-10 + 4x) Solving -16 + 6x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 6x + -4x = -10 + 4x + -4x Combine like terms: 6x + -4x = 2x -16 + 2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 2x = -10 + 0 -16 + 2x = -10 Add '16' to each side of the equation. -16 + 16 + 2x = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -10 + 16 2x = -10 + 16 Combine like terms: -10 + 16 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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