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Simplifying -2x + -3(x + 1) = 5x + 6 Reorder the terms: -2x + -3(1 + x) = 5x + 6 -2x + (1 * -3 + x * -3) = 5x + 6 -2x + (-3 + -3x) = 5x + 6 Reorder the terms: -3 + -2x + -3x = 5x + 6 Combine like terms: -2x + -3x = -5x -3 + -5x = 5x + 6 Reorder the terms: -3 + -5x = 6 + 5x Solving -3 + -5x = 6 + 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. -3 + -5x + -5x = 6 + 5x + -5x Combine like terms: -5x + -5x = -10x -3 + -10x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -10x = 6 + 0 -3 + -10x = 6 Add '3' to each side of the equation. -3 + 3 + -10x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 6 + 3 -10x = 6 + 3 Combine like terms: 6 + 3 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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