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Simplifying 5(x + 2(2x + -3) + -1(1 + x)) = 0 Reorder the terms: 5(x + 2(-3 + 2x) + -1(1 + x)) = 0 5(x + (-3 * 2 + 2x * 2) + -1(1 + x)) = 0 5(x + (-6 + 4x) + -1(1 + x)) = 0 5(x + -6 + 4x + (1 * -1 + x * -1)) = 0 5(x + -6 + 4x + (-1 + -1x)) = 0 Reorder the terms: 5(-6 + -1 + x + 4x + -1x) = 0 Combine like terms: -6 + -1 = -7 5(-7 + x + 4x + -1x) = 0 Combine like terms: x + 4x = 5x 5(-7 + 5x + -1x) = 0 Combine like terms: 5x + -1x = 4x 5(-7 + 4x) = 0 (-7 * 5 + 4x * 5) = 0 (-35 + 20x) = 0 Solving -35 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 20x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 20x = 0 + 35 20x = 0 + 35 Combine like terms: 0 + 35 = 35 20x = 35 Divide each side by '20'. x = 1.75 Simplifying x = 1.75
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