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Simplifying -3x + -2(6 + 5x) = 18 + -5(2x + -5) -3x + (6 * -2 + 5x * -2) = 18 + -5(2x + -5) -3x + (-12 + -10x) = 18 + -5(2x + -5) Reorder the terms: -12 + -3x + -10x = 18 + -5(2x + -5) Combine like terms: -3x + -10x = -13x -12 + -13x = 18 + -5(2x + -5) Reorder the terms: -12 + -13x = 18 + -5(-5 + 2x) -12 + -13x = 18 + (-5 * -5 + 2x * -5) -12 + -13x = 18 + (25 + -10x) Combine like terms: 18 + 25 = 43 -12 + -13x = 43 + -10x Solving -12 + -13x = 43 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + -13x + 10x = 43 + -10x + 10x Combine like terms: -13x + 10x = -3x -12 + -3x = 43 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + -3x = 43 + 0 -12 + -3x = 43 Add '12' to each side of the equation. -12 + 12 + -3x = 43 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 43 + 12 -3x = 43 + 12 Combine like terms: 43 + 12 = 55 -3x = 55 Divide each side by '-3'. x = -18.33333333 Simplifying x = -18.33333333
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