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Simplifying 3x + -1(2x + 10) = 2x + -2(3x + 20) Reorder the terms: 3x + -1(10 + 2x) = 2x + -2(3x + 20) 3x + (10 * -1 + 2x * -1) = 2x + -2(3x + 20) 3x + (-10 + -2x) = 2x + -2(3x + 20) Reorder the terms: -10 + 3x + -2x = 2x + -2(3x + 20) Combine like terms: 3x + -2x = 1x -10 + 1x = 2x + -2(3x + 20) Reorder the terms: -10 + 1x = 2x + -2(20 + 3x) -10 + 1x = 2x + (20 * -2 + 3x * -2) -10 + 1x = 2x + (-40 + -6x) Reorder the terms: -10 + 1x = -40 + 2x + -6x Combine like terms: 2x + -6x = -4x -10 + 1x = -40 + -4x Solving -10 + 1x = -40 + -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. -10 + 1x + 4x = -40 + -4x + 4x Combine like terms: 1x + 4x = 5x -10 + 5x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 5x = -40 + 0 -10 + 5x = -40 Add '10' to each side of the equation. -10 + 10 + 5x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -40 + 10 5x = -40 + 10 Combine like terms: -40 + 10 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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