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Simplifying -6(x + 3) + -2x = 3 + -1(2x + 5) Reorder the terms: -6(3 + x) + -2x = 3 + -1(2x + 5) (3 * -6 + x * -6) + -2x = 3 + -1(2x + 5) (-18 + -6x) + -2x = 3 + -1(2x + 5) Combine like terms: -6x + -2x = -8x -18 + -8x = 3 + -1(2x + 5) Reorder the terms: -18 + -8x = 3 + -1(5 + 2x) -18 + -8x = 3 + (5 * -1 + 2x * -1) -18 + -8x = 3 + (-5 + -2x) Combine like terms: 3 + -5 = -2 -18 + -8x = -2 + -2x Solving -18 + -8x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + -8x + 2x = -2 + -2x + 2x Combine like terms: -8x + 2x = -6x -18 + -6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + -6x = -2 + 0 -18 + -6x = -2 Add '18' to each side of the equation. -18 + 18 + -6x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = -2 + 18 -6x = -2 + 18 Combine like terms: -2 + 18 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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