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Simplifying (x + -1) + -3(2 + -3x) = (4 + 5x) + -1(5x + -3) Reorder the terms: (-1 + x) + -3(2 + -3x) = (4 + 5x) + -1(5x + -3) Remove parenthesis around (-1 + x) -1 + x + -3(2 + -3x) = (4 + 5x) + -1(5x + -3) -1 + x + (2 * -3 + -3x * -3) = (4 + 5x) + -1(5x + -3) -1 + x + (-6 + 9x) = (4 + 5x) + -1(5x + -3) Reorder the terms: -1 + -6 + x + 9x = (4 + 5x) + -1(5x + -3) Combine like terms: -1 + -6 = -7 -7 + x + 9x = (4 + 5x) + -1(5x + -3) Combine like terms: x + 9x = 10x -7 + 10x = (4 + 5x) + -1(5x + -3) Remove parenthesis around (4 + 5x) -7 + 10x = 4 + 5x + -1(5x + -3) Reorder the terms: -7 + 10x = 4 + 5x + -1(-3 + 5x) -7 + 10x = 4 + 5x + (-3 * -1 + 5x * -1) -7 + 10x = 4 + 5x + (3 + -5x) Reorder the terms: -7 + 10x = 4 + 3 + 5x + -5x Combine like terms: 4 + 3 = 7 -7 + 10x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 10x = 7 + 0 -7 + 10x = 7 Solving -7 + 10x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 7 + 7 10x = 7 + 7 Combine like terms: 7 + 7 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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