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Simplifying 2x + -5(2x + -10) = 10 + -6x Reorder the terms: 2x + -5(-10 + 2x) = 10 + -6x 2x + (-10 * -5 + 2x * -5) = 10 + -6x 2x + (50 + -10x) = 10 + -6x Reorder the terms: 50 + 2x + -10x = 10 + -6x Combine like terms: 2x + -10x = -8x 50 + -8x = 10 + -6x Solving 50 + -8x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 50 + -8x + 6x = 10 + -6x + 6x Combine like terms: -8x + 6x = -2x 50 + -2x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 50 + -2x = 10 + 0 50 + -2x = 10 Add '-50' to each side of the equation. 50 + -50 + -2x = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -2x = 10 + -50 -2x = 10 + -50 Combine like terms: 10 + -50 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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