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Simplifying 7x + -1(5x + 3) = 5(x + 3) + 2 Reorder the terms: 7x + -1(3 + 5x) = 5(x + 3) + 2 7x + (3 * -1 + 5x * -1) = 5(x + 3) + 2 7x + (-3 + -5x) = 5(x + 3) + 2 Reorder the terms: -3 + 7x + -5x = 5(x + 3) + 2 Combine like terms: 7x + -5x = 2x -3 + 2x = 5(x + 3) + 2 Reorder the terms: -3 + 2x = 5(3 + x) + 2 -3 + 2x = (3 * 5 + x * 5) + 2 -3 + 2x = (15 + 5x) + 2 Reorder the terms: -3 + 2x = 15 + 2 + 5x Combine like terms: 15 + 2 = 17 -3 + 2x = 17 + 5x Solving -3 + 2x = 17 + 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. -3 + 2x + -5x = 17 + 5x + -5x Combine like terms: 2x + -5x = -3x -3 + -3x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -3x = 17 + 0 -3 + -3x = 17 Add '3' to each side of the equation. -3 + 3 + -3x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 17 + 3 -3x = 17 + 3 Combine like terms: 17 + 3 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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