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Simplifying 10 = -4(x + -5) + -5(2 + -4x) Reorder the terms: 10 = -4(-5 + x) + -5(2 + -4x) 10 = (-5 * -4 + x * -4) + -5(2 + -4x) 10 = (20 + -4x) + -5(2 + -4x) 10 = 20 + -4x + (2 * -5 + -4x * -5) 10 = 20 + -4x + (-10 + 20x) Reorder the terms: 10 = 20 + -10 + -4x + 20x Combine like terms: 20 + -10 = 10 10 = 10 + -4x + 20x Combine like terms: -4x + 20x = 16x 10 = 10 + 16x Add '-10' to each side of the equation. 10 + -10 = 10 + -10 + 16x Combine like terms: 10 + -10 = 0 0 = 10 + -10 + 16x Combine like terms: 10 + -10 = 0 0 = 0 + 16x 0 = 16x Solving 0 = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 0 + -16x = 16x + -16x Remove the zero: -16x = 16x + -16x Combine like terms: 16x + -16x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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