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Simplifying -7x + 13 = -5(7x + 3) Reorder the terms: 13 + -7x = -5(7x + 3) Reorder the terms: 13 + -7x = -5(3 + 7x) 13 + -7x = (3 * -5 + 7x * -5) 13 + -7x = (-15 + -35x) Solving 13 + -7x = -15 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 13 + -7x + 35x = -15 + -35x + 35x Combine like terms: -7x + 35x = 28x 13 + 28x = -15 + -35x + 35x Combine like terms: -35x + 35x = 0 13 + 28x = -15 + 0 13 + 28x = -15 Add '-13' to each side of the equation. 13 + -13 + 28x = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 28x = -15 + -13 28x = -15 + -13 Combine like terms: -15 + -13 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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