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Simplifying 3x + 5(4x + -7) = 2 + -1(2x + 8) Reorder the terms: 3x + 5(-7 + 4x) = 2 + -1(2x + 8) 3x + (-7 * 5 + 4x * 5) = 2 + -1(2x + 8) 3x + (-35 + 20x) = 2 + -1(2x + 8) Reorder the terms: -35 + 3x + 20x = 2 + -1(2x + 8) Combine like terms: 3x + 20x = 23x -35 + 23x = 2 + -1(2x + 8) Reorder the terms: -35 + 23x = 2 + -1(8 + 2x) -35 + 23x = 2 + (8 * -1 + 2x * -1) -35 + 23x = 2 + (-8 + -2x) Combine like terms: 2 + -8 = -6 -35 + 23x = -6 + -2x Solving -35 + 23x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + 23x + 2x = -6 + -2x + 2x Combine like terms: 23x + 2x = 25x -35 + 25x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 25x = -6 + 0 -35 + 25x = -6 Add '35' to each side of the equation. -35 + 35 + 25x = -6 + 35 Combine like terms: -35 + 35 = 0 0 + 25x = -6 + 35 25x = -6 + 35 Combine like terms: -6 + 35 = 29 25x = 29 Divide each side by '25'. x = 1.16 Simplifying x = 1.16
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