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