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Simplifying 10(-5x + -2) = 6(-9x + -2) Reorder the terms: 10(-2 + -5x) = 6(-9x + -2) (-2 * 10 + -5x * 10) = 6(-9x + -2) (-20 + -50x) = 6(-9x + -2) Reorder the terms: -20 + -50x = 6(-2 + -9x) -20 + -50x = (-2 * 6 + -9x * 6) -20 + -50x = (-12 + -54x) Solving -20 + -50x = -12 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -20 + -50x + 54x = -12 + -54x + 54x Combine like terms: -50x + 54x = 4x -20 + 4x = -12 + -54x + 54x Combine like terms: -54x + 54x = 0 -20 + 4x = -12 + 0 -20 + 4x = -12 Add '20' to each side of the equation. -20 + 20 + 4x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -12 + 20 4x = -12 + 20 Combine like terms: -12 + 20 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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