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Simplifying 3x + 5 + -6(x + 1) = 5x + 2 Reorder the terms: 3x + 5 + -6(1 + x) = 5x + 2 3x + 5 + (1 * -6 + x * -6) = 5x + 2 3x + 5 + (-6 + -6x) = 5x + 2 Reorder the terms: 5 + -6 + 3x + -6x = 5x + 2 Combine like terms: 5 + -6 = -1 -1 + 3x + -6x = 5x + 2 Combine like terms: 3x + -6x = -3x -1 + -3x = 5x + 2 Reorder the terms: -1 + -3x = 2 + 5x Solving -1 + -3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -3x + -5x = 2 + 5x + -5x Combine like terms: -3x + -5x = -8x -1 + -8x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8x = 2 + 0 -1 + -8x = 2 Add '1' to each side of the equation. -1 + 1 + -8x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 2 + 1 -8x = 2 + 1 Combine like terms: 2 + 1 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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