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Simplifying 3x + -1(2x + 5) = 8x + (-2x + 5) Reorder the terms: 3x + -1(5 + 2x) = 8x + (-2x + 5) 3x + (5 * -1 + 2x * -1) = 8x + (-2x + 5) 3x + (-5 + -2x) = 8x + (-2x + 5) Reorder the terms: -5 + 3x + -2x = 8x + (-2x + 5) Combine like terms: 3x + -2x = 1x -5 + 1x = 8x + (-2x + 5) Reorder the terms: -5 + 1x = 8x + (5 + -2x) Remove parenthesis around (5 + -2x) -5 + 1x = 8x + 5 + -2x Reorder the terms: -5 + 1x = 5 + 8x + -2x Combine like terms: 8x + -2x = 6x -5 + 1x = 5 + 6x Solving -5 + 1x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 1x + -6x = 5 + 6x + -6x Combine like terms: 1x + -6x = -5x -5 + -5x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -5x = 5 + 0 -5 + -5x = 5 Add '5' to each side of the equation. -5 + 5 + -5x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 5 + 5 -5x = 5 + 5 Combine like terms: 5 + 5 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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