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Simplifying -10(-4x + 5) = 2(-3x + -2) Reorder the terms: -10(5 + -4x) = 2(-3x + -2) (5 * -10 + -4x * -10) = 2(-3x + -2) (-50 + 40x) = 2(-3x + -2) Reorder the terms: -50 + 40x = 2(-2 + -3x) -50 + 40x = (-2 * 2 + -3x * 2) -50 + 40x = (-4 + -6x) Solving -50 + 40x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -50 + 40x + 6x = -4 + -6x + 6x Combine like terms: 40x + 6x = 46x -50 + 46x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -50 + 46x = -4 + 0 -50 + 46x = -4 Add '50' to each side of the equation. -50 + 50 + 46x = -4 + 50 Combine like terms: -50 + 50 = 0 0 + 46x = -4 + 50 46x = -4 + 50 Combine like terms: -4 + 50 = 46 46x = 46 Divide each side by '46'. x = 1 Simplifying x = 1
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