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Simplifying -33 + (6x + -6) = x + -1(2x + 11) Reorder the terms: -33 + (-6 + 6x) = x + -1(2x + 11) Remove parenthesis around (-6 + 6x) -33 + -6 + 6x = x + -1(2x + 11) Combine like terms: -33 + -6 = -39 -39 + 6x = x + -1(2x + 11) Reorder the terms: -39 + 6x = x + -1(11 + 2x) -39 + 6x = x + (11 * -1 + 2x * -1) -39 + 6x = x + (-11 + -2x) Reorder the terms: -39 + 6x = -11 + x + -2x Combine like terms: x + -2x = -1x -39 + 6x = -11 + -1x Solving -39 + 6x = -11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -39 + 6x + x = -11 + -1x + x Combine like terms: 6x + x = 7x -39 + 7x = -11 + -1x + x Combine like terms: -1x + x = 0 -39 + 7x = -11 + 0 -39 + 7x = -11 Add '39' to each side of the equation. -39 + 39 + 7x = -11 + 39 Combine like terms: -39 + 39 = 0 0 + 7x = -11 + 39 7x = -11 + 39 Combine like terms: -11 + 39 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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