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Simplifying 2(-3x + -5) = -4(x + 5) Reorder the terms: 2(-5 + -3x) = -4(x + 5) (-5 * 2 + -3x * 2) = -4(x + 5) (-10 + -6x) = -4(x + 5) Reorder the terms: -10 + -6x = -4(5 + x) -10 + -6x = (5 * -4 + x * -4) -10 + -6x = (-20 + -4x) Solving -10 + -6x = -20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -6x + 4x = -20 + -4x + 4x Combine like terms: -6x + 4x = -2x -10 + -2x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + -2x = -20 + 0 -10 + -2x = -20 Add '10' to each side of the equation. -10 + 10 + -2x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -20 + 10 -2x = -20 + 10 Combine like terms: -20 + 10 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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