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Simplifying -1(8 + -6x) + -1(3 + 5x) + -18 = -1(2 + -6x) + (-1x) + 1 (8 * -1 + -6x * -1) + -1(3 + 5x) + -18 = -1(2 + -6x) + (-1x) + 1 (-8 + 6x) + -1(3 + 5x) + -18 = -1(2 + -6x) + (-1x) + 1 -8 + 6x + (3 * -1 + 5x * -1) + -18 = -1(2 + -6x) + (-1x) + 1 -8 + 6x + (-3 + -5x) + -18 = -1(2 + -6x) + (-1x) + 1 Reorder the terms: -8 + -3 + -18 + 6x + -5x = -1(2 + -6x) + (-1x) + 1 Combine like terms: -8 + -3 = -11 -11 + -18 + 6x + -5x = -1(2 + -6x) + (-1x) + 1 Combine like terms: -11 + -18 = -29 -29 + 6x + -5x = -1(2 + -6x) + (-1x) + 1 Combine like terms: 6x + -5x = 1x -29 + 1x = -1(2 + -6x) + (-1x) + 1 -29 + 1x = (2 * -1 + -6x * -1) + (-1x) + 1 -29 + 1x = (-2 + 6x) + (-1x) + 1 Reorder the terms: -29 + 1x = -2 + 1 + 6x + (-1x) Combine like terms: -2 + 1 = -1 -29 + 1x = -1 + 6x + (-1x) Combine like terms: 6x + (-1x) = 5x -29 + 1x = -1 + 5x Solving -29 + 1x = -1 + 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. -29 + 1x + -5x = -1 + 5x + -5x Combine like terms: 1x + -5x = -4x -29 + -4x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + -4x = -1 + 0 -29 + -4x = -1 Add '29' to each side of the equation. -29 + 29 + -4x = -1 + 29 Combine like terms: -29 + 29 = 0 0 + -4x = -1 + 29 -4x = -1 + 29 Combine like terms: -1 + 29 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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