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Simplifying 10(3x + -1) = 4(5x + -10) Reorder the terms: 10(-1 + 3x) = 4(5x + -10) (-1 * 10 + 3x * 10) = 4(5x + -10) (-10 + 30x) = 4(5x + -10) Reorder the terms: -10 + 30x = 4(-10 + 5x) -10 + 30x = (-10 * 4 + 5x * 4) -10 + 30x = (-40 + 20x) Solving -10 + 30x = -40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -10 + 30x + -20x = -40 + 20x + -20x Combine like terms: 30x + -20x = 10x -10 + 10x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 -10 + 10x = -40 + 0 -10 + 10x = -40 Add '10' to each side of the equation. -10 + 10 + 10x = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = -40 + 10 10x = -40 + 10 Combine like terms: -40 + 10 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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