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Simplifying 3x + -5 + -6(x + 1) = -4x + 2 Reorder the terms: 3x + -5 + -6(1 + x) = -4x + 2 3x + -5 + (1 * -6 + x * -6) = -4x + 2 3x + -5 + (-6 + -6x) = -4x + 2 Reorder the terms: -5 + -6 + 3x + -6x = -4x + 2 Combine like terms: -5 + -6 = -11 -11 + 3x + -6x = -4x + 2 Combine like terms: 3x + -6x = -3x -11 + -3x = -4x + 2 Reorder the terms: -11 + -3x = 2 + -4x Solving -11 + -3x = 2 + -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. -11 + -3x + 4x = 2 + -4x + 4x Combine like terms: -3x + 4x = 1x -11 + 1x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 1x = 2 + 0 -11 + 1x = 2 Add '11' to each side of the equation. -11 + 11 + 1x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 2 + 11 1x = 2 + 11 Combine like terms: 2 + 11 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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