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Simplifying -2(3x + -1) + -3(2x + 5) = -5(2x + -8) Reorder the terms: -2(-1 + 3x) + -3(2x + 5) = -5(2x + -8) (-1 * -2 + 3x * -2) + -3(2x + 5) = -5(2x + -8) (2 + -6x) + -3(2x + 5) = -5(2x + -8) Reorder the terms: 2 + -6x + -3(5 + 2x) = -5(2x + -8) 2 + -6x + (5 * -3 + 2x * -3) = -5(2x + -8) 2 + -6x + (-15 + -6x) = -5(2x + -8) Reorder the terms: 2 + -15 + -6x + -6x = -5(2x + -8) Combine like terms: 2 + -15 = -13 -13 + -6x + -6x = -5(2x + -8) Combine like terms: -6x + -6x = -12x -13 + -12x = -5(2x + -8) Reorder the terms: -13 + -12x = -5(-8 + 2x) -13 + -12x = (-8 * -5 + 2x * -5) -13 + -12x = (40 + -10x) Solving -13 + -12x = 40 + -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. -13 + -12x + 10x = 40 + -10x + 10x Combine like terms: -12x + 10x = -2x -13 + -2x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 -13 + -2x = 40 + 0 -13 + -2x = 40 Add '13' to each side of the equation. -13 + 13 + -2x = 40 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 40 + 13 -2x = 40 + 13 Combine like terms: 40 + 13 = 53 -2x = 53 Divide each side by '-2'. x = -26.5 Simplifying x = -26.5
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