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Simplifying 3x + -5(y + -6) = 2(10 + -1x) + 10 Reorder the terms: 3x + -5(-6 + y) = 2(10 + -1x) + 10 3x + (-6 * -5 + y * -5) = 2(10 + -1x) + 10 3x + (30 + -5y) = 2(10 + -1x) + 10 Reorder the terms: 30 + 3x + -5y = 2(10 + -1x) + 10 30 + 3x + -5y = (10 * 2 + -1x * 2) + 10 30 + 3x + -5y = (20 + -2x) + 10 Reorder the terms: 30 + 3x + -5y = 20 + 10 + -2x Combine like terms: 20 + 10 = 30 30 + 3x + -5y = 30 + -2x Add '-30' to each side of the equation. 30 + 3x + -30 + -5y = 30 + -30 + -2x Reorder the terms: 30 + -30 + 3x + -5y = 30 + -30 + -2x Combine like terms: 30 + -30 = 0 0 + 3x + -5y = 30 + -30 + -2x 3x + -5y = 30 + -30 + -2x Combine like terms: 30 + -30 = 0 3x + -5y = 0 + -2x 3x + -5y = -2x Solving 3x + -5y = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3x + 2x + -5y = -2x + 2x Combine like terms: 3x + 2x = 5x 5x + -5y = -2x + 2x Combine like terms: -2x + 2x = 0 5x + -5y = 0 Add '5y' to each side of the equation. 5x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 5x + 0 = 0 + 5y 5x = 0 + 5y Remove the zero: 5x = 5y Divide each side by '5'. x = y Simplifying x = y
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