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Simplifying 2(3x + -20) + 2(4x + 10) = 2(3x + 30) + 6x Reorder the terms: 2(-20 + 3x) + 2(4x + 10) = 2(3x + 30) + 6x (-20 * 2 + 3x * 2) + 2(4x + 10) = 2(3x + 30) + 6x (-40 + 6x) + 2(4x + 10) = 2(3x + 30) + 6x Reorder the terms: -40 + 6x + 2(10 + 4x) = 2(3x + 30) + 6x -40 + 6x + (10 * 2 + 4x * 2) = 2(3x + 30) + 6x -40 + 6x + (20 + 8x) = 2(3x + 30) + 6x Reorder the terms: -40 + 20 + 6x + 8x = 2(3x + 30) + 6x Combine like terms: -40 + 20 = -20 -20 + 6x + 8x = 2(3x + 30) + 6x Combine like terms: 6x + 8x = 14x -20 + 14x = 2(3x + 30) + 6x Reorder the terms: -20 + 14x = 2(30 + 3x) + 6x -20 + 14x = (30 * 2 + 3x * 2) + 6x -20 + 14x = (60 + 6x) + 6x Combine like terms: 6x + 6x = 12x -20 + 14x = 60 + 12x Solving -20 + 14x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 14x + -12x = 60 + 12x + -12x Combine like terms: 14x + -12x = 2x -20 + 2x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + 2x = 60 + 0 -20 + 2x = 60 Add '20' to each side of the equation. -20 + 20 + 2x = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 60 + 20 2x = 60 + 20 Combine like terms: 60 + 20 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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