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Simplifying -3x + 6 + -5(x + -1) = 2 + (2x + 7) Reorder the terms: -3x + 6 + -5(-1 + x) = 2 + (2x + 7) -3x + 6 + (-1 * -5 + x * -5) = 2 + (2x + 7) -3x + 6 + (5 + -5x) = 2 + (2x + 7) Reorder the terms: 6 + 5 + -3x + -5x = 2 + (2x + 7) Combine like terms: 6 + 5 = 11 11 + -3x + -5x = 2 + (2x + 7) Combine like terms: -3x + -5x = -8x 11 + -8x = 2 + (2x + 7) Reorder the terms: 11 + -8x = 2 + (7 + 2x) Remove parenthesis around (7 + 2x) 11 + -8x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 11 + -8x = 9 + 2x Solving 11 + -8x = 9 + 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. 11 + -8x + -2x = 9 + 2x + -2x Combine like terms: -8x + -2x = -10x 11 + -10x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -10x = 9 + 0 11 + -10x = 9 Add '-11' to each side of the equation. 11 + -11 + -10x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = 9 + -11 -10x = 9 + -11 Combine like terms: 9 + -11 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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