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Simplifying 3x + -1(2x + 5) = (2x + -3) + 8 Reorder the terms: 3x + -1(5 + 2x) = (2x + -3) + 8 3x + (5 * -1 + 2x * -1) = (2x + -3) + 8 3x + (-5 + -2x) = (2x + -3) + 8 Reorder the terms: -5 + 3x + -2x = (2x + -3) + 8 Combine like terms: 3x + -2x = 1x -5 + 1x = (2x + -3) + 8 Reorder the terms: -5 + 1x = (-3 + 2x) + 8 Remove parenthesis around (-3 + 2x) -5 + 1x = -3 + 2x + 8 Reorder the terms: -5 + 1x = -3 + 8 + 2x Combine like terms: -3 + 8 = 5 -5 + 1x = 5 + 2x Solving -5 + 1x = 5 + 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. -5 + 1x + -2x = 5 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = 5 + 0 -5 + -1x = 5 Add '5' to each side of the equation. -5 + 5 + -1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 5 + 5 -1x = 5 + 5 Combine like terms: 5 + 5 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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