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Simplifying 10(-4x + -4) = 5(-3x + 2) Reorder the terms: 10(-4 + -4x) = 5(-3x + 2) (-4 * 10 + -4x * 10) = 5(-3x + 2) (-40 + -40x) = 5(-3x + 2) Reorder the terms: -40 + -40x = 5(2 + -3x) -40 + -40x = (2 * 5 + -3x * 5) -40 + -40x = (10 + -15x) Solving -40 + -40x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -40 + -40x + 15x = 10 + -15x + 15x Combine like terms: -40x + 15x = -25x -40 + -25x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 -40 + -25x = 10 + 0 -40 + -25x = 10 Add '40' to each side of the equation. -40 + 40 + -25x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + -25x = 10 + 40 -25x = 10 + 40 Combine like terms: 10 + 40 = 50 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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