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Simplifying (8 + -5x) + -1(3x + 6) = 2x + 7 Remove parenthesis around (8 + -5x) 8 + -5x + -1(3x + 6) = 2x + 7 Reorder the terms: 8 + -5x + -1(6 + 3x) = 2x + 7 8 + -5x + (6 * -1 + 3x * -1) = 2x + 7 8 + -5x + (-6 + -3x) = 2x + 7 Reorder the terms: 8 + -6 + -5x + -3x = 2x + 7 Combine like terms: 8 + -6 = 2 2 + -5x + -3x = 2x + 7 Combine like terms: -5x + -3x = -8x 2 + -8x = 2x + 7 Reorder the terms: 2 + -8x = 7 + 2x Solving 2 + -8x = 7 + 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. 2 + -8x + -2x = 7 + 2x + -2x Combine like terms: -8x + -2x = -10x 2 + -10x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -10x = 7 + 0 2 + -10x = 7 Add '-2' to each side of the equation. 2 + -2 + -10x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 7 + -2 -10x = 7 + -2 Combine like terms: 7 + -2 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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