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Simplifying 2x + 5(x + -4) = 4x + -2(x + -10) Reorder the terms: 2x + 5(-4 + x) = 4x + -2(x + -10) 2x + (-4 * 5 + x * 5) = 4x + -2(x + -10) 2x + (-20 + 5x) = 4x + -2(x + -10) Reorder the terms: -20 + 2x + 5x = 4x + -2(x + -10) Combine like terms: 2x + 5x = 7x -20 + 7x = 4x + -2(x + -10) Reorder the terms: -20 + 7x = 4x + -2(-10 + x) -20 + 7x = 4x + (-10 * -2 + x * -2) -20 + 7x = 4x + (20 + -2x) Reorder the terms: -20 + 7x = 20 + 4x + -2x Combine like terms: 4x + -2x = 2x -20 + 7x = 20 + 2x Solving -20 + 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. -20 + 7x + -2x = 20 + 2x + -2x Combine like terms: 7x + -2x = 5x -20 + 5x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 5x = 20 + 0 -20 + 5x = 20 Add '20' to each side of the equation. -20 + 20 + 5x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 20 + 20 5x = 20 + 20 Combine like terms: 20 + 20 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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