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Simplifying -84 = -7x + -7(4x + -13) Reorder the terms: -84 = -7x + -7(-13 + 4x) -84 = -7x + (-13 * -7 + 4x * -7) -84 = -7x + (91 + -28x) Reorder the terms: -84 = 91 + -7x + -28x Combine like terms: -7x + -28x = -35x -84 = 91 + -35x Solving -84 = 91 + -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. -84 + 35x = 91 + -35x + 35x Combine like terms: -35x + 35x = 0 -84 + 35x = 91 + 0 -84 + 35x = 91 Add '84' to each side of the equation. -84 + 84 + 35x = 91 + 84 Combine like terms: -84 + 84 = 0 0 + 35x = 91 + 84 35x = 91 + 84 Combine like terms: 91 + 84 = 175 35x = 175 Divide each side by '35'. x = 5 Simplifying x = 5
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