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Simplifying 10(3x + -3) = -5(10x + -10) Reorder the terms: 10(-3 + 3x) = -5(10x + -10) (-3 * 10 + 3x * 10) = -5(10x + -10) (-30 + 30x) = -5(10x + -10) Reorder the terms: -30 + 30x = -5(-10 + 10x) -30 + 30x = (-10 * -5 + 10x * -5) -30 + 30x = (50 + -50x) Solving -30 + 30x = 50 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -30 + 30x + 50x = 50 + -50x + 50x Combine like terms: 30x + 50x = 80x -30 + 80x = 50 + -50x + 50x Combine like terms: -50x + 50x = 0 -30 + 80x = 50 + 0 -30 + 80x = 50 Add '30' to each side of the equation. -30 + 30 + 80x = 50 + 30 Combine like terms: -30 + 30 = 0 0 + 80x = 50 + 30 80x = 50 + 30 Combine like terms: 50 + 30 = 80 80x = 80 Divide each side by '80'. x = 1 Simplifying x = 1
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