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Simplifying 2x + -1(8x + 7) = 7x + -20 Reorder the terms: 2x + -1(7 + 8x) = 7x + -20 2x + (7 * -1 + 8x * -1) = 7x + -20 2x + (-7 + -8x) = 7x + -20 Reorder the terms: -7 + 2x + -8x = 7x + -20 Combine like terms: 2x + -8x = -6x -7 + -6x = 7x + -20 Reorder the terms: -7 + -6x = -20 + 7x Solving -7 + -6x = -20 + 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. -7 + -6x + -7x = -20 + 7x + -7x Combine like terms: -6x + -7x = -13x -7 + -13x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -13x = -20 + 0 -7 + -13x = -20 Add '7' to each side of the equation. -7 + 7 + -13x = -20 + 7 Combine like terms: -7 + 7 = 0 0 + -13x = -20 + 7 -13x = -20 + 7 Combine like terms: -20 + 7 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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