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Simplifying 2(7 + -1x) + -20 = 2x + -3(2 + 3x) (7 * 2 + -1x * 2) + -20 = 2x + -3(2 + 3x) (14 + -2x) + -20 = 2x + -3(2 + 3x) Reorder the terms: 14 + -20 + -2x = 2x + -3(2 + 3x) Combine like terms: 14 + -20 = -6 -6 + -2x = 2x + -3(2 + 3x) -6 + -2x = 2x + (2 * -3 + 3x * -3) -6 + -2x = 2x + (-6 + -9x) Reorder the terms: -6 + -2x = -6 + 2x + -9x Combine like terms: 2x + -9x = -7x -6 + -2x = -6 + -7x Add '6' to each side of the equation. -6 + 6 + -2x = -6 + 6 + -7x Combine like terms: -6 + 6 = 0 0 + -2x = -6 + 6 + -7x -2x = -6 + 6 + -7x Combine like terms: -6 + 6 = 0 -2x = 0 + -7x -2x = -7x Solving -2x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2x + 7x = -7x + 7x Combine like terms: -2x + 7x = 5x 5x = -7x + 7x Combine like terms: -7x + 7x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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