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Simplifying 7x + -1(x + 3) = 5(x + -3) + 2 Reorder the terms: 7x + -1(3 + x) = 5(x + -3) + 2 7x + (3 * -1 + x * -1) = 5(x + -3) + 2 7x + (-3 + -1x) = 5(x + -3) + 2 Reorder the terms: -3 + 7x + -1x = 5(x + -3) + 2 Combine like terms: 7x + -1x = 6x -3 + 6x = 5(x + -3) + 2 Reorder the terms: -3 + 6x = 5(-3 + x) + 2 -3 + 6x = (-3 * 5 + x * 5) + 2 -3 + 6x = (-15 + 5x) + 2 Reorder the terms: -3 + 6x = -15 + 2 + 5x Combine like terms: -15 + 2 = -13 -3 + 6x = -13 + 5x Solving -3 + 6x = -13 + 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 + 6x + -5x = -13 + 5x + -5x Combine like terms: 6x + -5x = 1x -3 + 1x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 1x = -13 + 0 -3 + 1x = -13 Add '3' to each side of the equation. -3 + 3 + 1x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -13 + 3 1x = -13 + 3 Combine like terms: -13 + 3 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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