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Simplifying 5(x + -3) + 2 = 7x + -1(5x + 3) Reorder the terms: 5(-3 + x) + 2 = 7x + -1(5x + 3) (-3 * 5 + x * 5) + 2 = 7x + -1(5x + 3) (-15 + 5x) + 2 = 7x + -1(5x + 3) Reorder the terms: -15 + 2 + 5x = 7x + -1(5x + 3) Combine like terms: -15 + 2 = -13 -13 + 5x = 7x + -1(5x + 3) Reorder the terms: -13 + 5x = 7x + -1(3 + 5x) -13 + 5x = 7x + (3 * -1 + 5x * -1) -13 + 5x = 7x + (-3 + -5x) Reorder the terms: -13 + 5x = -3 + 7x + -5x Combine like terms: 7x + -5x = 2x -13 + 5x = -3 + 2x Solving -13 + 5x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 5x + -2x = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x -13 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 3x = -3 + 0 -13 + 3x = -3 Add '13' to each side of the equation. -13 + 13 + 3x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = -3 + 13 3x = -3 + 13 Combine like terms: -3 + 13 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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