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Simplifying 35x + -10 = 5(6x + -10) Reorder the terms: -10 + 35x = 5(6x + -10) Reorder the terms: -10 + 35x = 5(-10 + 6x) -10 + 35x = (-10 * 5 + 6x * 5) -10 + 35x = (-50 + 30x) Solving -10 + 35x = -50 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -10 + 35x + -30x = -50 + 30x + -30x Combine like terms: 35x + -30x = 5x -10 + 5x = -50 + 30x + -30x Combine like terms: 30x + -30x = 0 -10 + 5x = -50 + 0 -10 + 5x = -50 Add '10' to each side of the equation. -10 + 10 + 5x = -50 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -50 + 10 5x = -50 + 10 Combine like terms: -50 + 10 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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