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Simplifying -3x + 6 + -5(x + -1) = (2x + -4) + -5x + 5 Reorder the terms: -3x + 6 + -5(-1 + x) = (2x + -4) + -5x + 5 -3x + 6 + (-1 * -5 + x * -5) = (2x + -4) + -5x + 5 -3x + 6 + (5 + -5x) = (2x + -4) + -5x + 5 Reorder the terms: 6 + 5 + -3x + -5x = (2x + -4) + -5x + 5 Combine like terms: 6 + 5 = 11 11 + -3x + -5x = (2x + -4) + -5x + 5 Combine like terms: -3x + -5x = -8x 11 + -8x = (2x + -4) + -5x + 5 Reorder the terms: 11 + -8x = (-4 + 2x) + -5x + 5 Remove parenthesis around (-4 + 2x) 11 + -8x = -4 + 2x + -5x + 5 Reorder the terms: 11 + -8x = -4 + 5 + 2x + -5x Combine like terms: -4 + 5 = 1 11 + -8x = 1 + 2x + -5x Combine like terms: 2x + -5x = -3x 11 + -8x = 1 + -3x Solving 11 + -8x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 11 + -8x + 3x = 1 + -3x + 3x Combine like terms: -8x + 3x = -5x 11 + -5x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + -5x = 1 + 0 11 + -5x = 1 Add '-11' to each side of the equation. 11 + -11 + -5x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 1 + -11 -5x = 1 + -11 Combine like terms: 1 + -11 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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