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Simplifying -1(5x + 7) + -1(7x + 11) = 6(x + 2) + 4 + -1x Reorder the terms: -1(7 + 5x) + -1(7x + 11) = 6(x + 2) + 4 + -1x (7 * -1 + 5x * -1) + -1(7x + 11) = 6(x + 2) + 4 + -1x (-7 + -5x) + -1(7x + 11) = 6(x + 2) + 4 + -1x Reorder the terms: -7 + -5x + -1(11 + 7x) = 6(x + 2) + 4 + -1x -7 + -5x + (11 * -1 + 7x * -1) = 6(x + 2) + 4 + -1x -7 + -5x + (-11 + -7x) = 6(x + 2) + 4 + -1x Reorder the terms: -7 + -11 + -5x + -7x = 6(x + 2) + 4 + -1x Combine like terms: -7 + -11 = -18 -18 + -5x + -7x = 6(x + 2) + 4 + -1x Combine like terms: -5x + -7x = -12x -18 + -12x = 6(x + 2) + 4 + -1x Reorder the terms: -18 + -12x = 6(2 + x) + 4 + -1x -18 + -12x = (2 * 6 + x * 6) + 4 + -1x -18 + -12x = (12 + 6x) + 4 + -1x Reorder the terms: -18 + -12x = 12 + 4 + 6x + -1x Combine like terms: 12 + 4 = 16 -18 + -12x = 16 + 6x + -1x Combine like terms: 6x + -1x = 5x -18 + -12x = 16 + 5x Solving -18 + -12x = 16 + 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. -18 + -12x + -5x = 16 + 5x + -5x Combine like terms: -12x + -5x = -17x -18 + -17x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -17x = 16 + 0 -18 + -17x = 16 Add '18' to each side of the equation. -18 + 18 + -17x = 16 + 18 Combine like terms: -18 + 18 = 0 0 + -17x = 16 + 18 -17x = 16 + 18 Combine like terms: 16 + 18 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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