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