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Simplifying 2x + 5(x + -6) = 2(x + -10) Reorder the terms: 2x + 5(-6 + x) = 2(x + -10) 2x + (-6 * 5 + x * 5) = 2(x + -10) 2x + (-30 + 5x) = 2(x + -10) Reorder the terms: -30 + 2x + 5x = 2(x + -10) Combine like terms: 2x + 5x = 7x -30 + 7x = 2(x + -10) Reorder the terms: -30 + 7x = 2(-10 + x) -30 + 7x = (-10 * 2 + x * 2) -30 + 7x = (-20 + 2x) Solving -30 + 7x = -20 + 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. -30 + 7x + -2x = -20 + 2x + -2x Combine like terms: 7x + -2x = 5x -30 + 5x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 5x = -20 + 0 -30 + 5x = -20 Add '30' to each side of the equation. -30 + 30 + 5x = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -20 + 30 5x = -20 + 30 Combine like terms: -20 + 30 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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