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Simplifying 2x + -5(4 + -2x) = 10 + 3(2x + -2) 2x + (4 * -5 + -2x * -5) = 10 + 3(2x + -2) 2x + (-20 + 10x) = 10 + 3(2x + -2) Reorder the terms: -20 + 2x + 10x = 10 + 3(2x + -2) Combine like terms: 2x + 10x = 12x -20 + 12x = 10 + 3(2x + -2) Reorder the terms: -20 + 12x = 10 + 3(-2 + 2x) -20 + 12x = 10 + (-2 * 3 + 2x * 3) -20 + 12x = 10 + (-6 + 6x) Combine like terms: 10 + -6 = 4 -20 + 12x = 4 + 6x Solving -20 + 12x = 4 + 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. -20 + 12x + -6x = 4 + 6x + -6x Combine like terms: 12x + -6x = 6x -20 + 6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 6x = 4 + 0 -20 + 6x = 4 Add '20' to each side of the equation. -20 + 20 + 6x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 4 + 20 6x = 4 + 20 Combine like terms: 4 + 20 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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