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Simplifying 2(3x + -1) + -5x = 5 + -1(3x + 11) Reorder the terms: 2(-1 + 3x) + -5x = 5 + -1(3x + 11) (-1 * 2 + 3x * 2) + -5x = 5 + -1(3x + 11) (-2 + 6x) + -5x = 5 + -1(3x + 11) Combine like terms: 6x + -5x = 1x -2 + 1x = 5 + -1(3x + 11) Reorder the terms: -2 + 1x = 5 + -1(11 + 3x) -2 + 1x = 5 + (11 * -1 + 3x * -1) -2 + 1x = 5 + (-11 + -3x) Combine like terms: 5 + -11 = -6 -2 + 1x = -6 + -3x Solving -2 + 1x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 1x + 3x = -6 + -3x + 3x Combine like terms: 1x + 3x = 4x -2 + 4x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 4x = -6 + 0 -2 + 4x = -6 Add '2' to each side of the equation. -2 + 2 + 4x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -6 + 2 4x = -6 + 2 Combine like terms: -6 + 2 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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