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Simplifying 5(-32 + -3x) = 10(-6 + -4x) (-32 * 5 + -3x * 5) = 10(-6 + -4x) (-160 + -15x) = 10(-6 + -4x) -160 + -15x = (-6 * 10 + -4x * 10) -160 + -15x = (-60 + -40x) Solving -160 + -15x = -60 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -160 + -15x + 40x = -60 + -40x + 40x Combine like terms: -15x + 40x = 25x -160 + 25x = -60 + -40x + 40x Combine like terms: -40x + 40x = 0 -160 + 25x = -60 + 0 -160 + 25x = -60 Add '160' to each side of the equation. -160 + 160 + 25x = -60 + 160 Combine like terms: -160 + 160 = 0 0 + 25x = -60 + 160 25x = -60 + 160 Combine like terms: -60 + 160 = 100 25x = 100 Divide each side by '25'. x = 4 Simplifying x = 4
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