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Simplifying 3 + -1(3x + -6) = (20x + 84) + 2 + -7x Reorder the terms: 3 + -1(-6 + 3x) = (20x + 84) + 2 + -7x 3 + (-6 * -1 + 3x * -1) = (20x + 84) + 2 + -7x 3 + (6 + -3x) = (20x + 84) + 2 + -7x Combine like terms: 3 + 6 = 9 9 + -3x = (20x + 84) + 2 + -7x Reorder the terms: 9 + -3x = (84 + 20x) + 2 + -7x Remove parenthesis around (84 + 20x) 9 + -3x = 84 + 20x + 2 + -7x Reorder the terms: 9 + -3x = 84 + 2 + 20x + -7x Combine like terms: 84 + 2 = 86 9 + -3x = 86 + 20x + -7x Combine like terms: 20x + -7x = 13x 9 + -3x = 86 + 13x Solving 9 + -3x = 86 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9 + -3x + -13x = 86 + 13x + -13x Combine like terms: -3x + -13x = -16x 9 + -16x = 86 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -16x = 86 + 0 9 + -16x = 86 Add '-9' to each side of the equation. 9 + -9 + -16x = 86 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 86 + -9 -16x = 86 + -9 Combine like terms: 86 + -9 = 77 -16x = 77 Divide each side by '-16'. x = -4.8125 Simplifying x = -4.8125
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