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Simplifying 5x + -1(3x + 2) = 7x + -2(x + 3) Reorder the terms: 5x + -1(2 + 3x) = 7x + -2(x + 3) 5x + (2 * -1 + 3x * -1) = 7x + -2(x + 3) 5x + (-2 + -3x) = 7x + -2(x + 3) Reorder the terms: -2 + 5x + -3x = 7x + -2(x + 3) Combine like terms: 5x + -3x = 2x -2 + 2x = 7x + -2(x + 3) Reorder the terms: -2 + 2x = 7x + -2(3 + x) -2 + 2x = 7x + (3 * -2 + x * -2) -2 + 2x = 7x + (-6 + -2x) Reorder the terms: -2 + 2x = -6 + 7x + -2x Combine like terms: 7x + -2x = 5x -2 + 2x = -6 + 5x Solving -2 + 2x = -6 + 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. -2 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = -6 + 0 -2 + -3x = -6 Add '2' to each side of the equation. -2 + 2 + -3x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -6 + 2 -3x = -6 + 2 Combine like terms: -6 + 2 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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