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Simplifying 2[-2(5x + 3) + 5(5x + -5)] = 0 Reorder the terms: 2[-2(3 + 5x) + 5(5x + -5)] = 0 2[(3 * -2 + 5x * -2) + 5(5x + -5)] = 0 2[(-6 + -10x) + 5(5x + -5)] = 0 Reorder the terms: 2[-6 + -10x + 5(-5 + 5x)] = 0 2[-6 + -10x + (-5 * 5 + 5x * 5)] = 0 2[-6 + -10x + (-25 + 25x)] = 0 Reorder the terms: 2[-6 + -25 + -10x + 25x] = 0 Combine like terms: -6 + -25 = -31 2[-31 + -10x + 25x] = 0 Combine like terms: -10x + 25x = 15x 2[-31 + 15x] = 0 [-31 * 2 + 15x * 2] = 0 [-62 + 30x] = 0 Solving -62 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 30x = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 30x = 0 + 62 30x = 0 + 62 Combine like terms: 0 + 62 = 62 30x = 62 Divide each side by '30'. x = 2.066666667 Simplifying x = 2.066666667
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