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Simplifying 2[5 + -5(x + -4)] = 10 + -5x Reorder the terms: 2[5 + -5(-4 + x)] = 10 + -5x 2[5 + (-4 * -5 + x * -5)] = 10 + -5x 2[5 + (20 + -5x)] = 10 + -5x Combine like terms: 5 + 20 = 25 2[25 + -5x] = 10 + -5x [25 * 2 + -5x * 2] = 10 + -5x [50 + -10x] = 10 + -5x Solving 50 + -10x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 50 + -10x + 5x = 10 + -5x + 5x Combine like terms: -10x + 5x = -5x 50 + -5x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 50 + -5x = 10 + 0 50 + -5x = 10 Add '-50' to each side of the equation. 50 + -50 + -5x = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = 10 + -50 -5x = 10 + -50 Combine like terms: 10 + -50 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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