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