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Simplifying 7x + 6(4x + -7) = 113 Reorder the terms: 7x + 6(-7 + 4x) = 113 7x + (-7 * 6 + 4x * 6) = 113 7x + (-42 + 24x) = 113 Reorder the terms: -42 + 7x + 24x = 113 Combine like terms: 7x + 24x = 31x -42 + 31x = 113 Solving -42 + 31x = 113 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 31x = 113 + 42 Combine like terms: -42 + 42 = 0 0 + 31x = 113 + 42 31x = 113 + 42 Combine like terms: 113 + 42 = 155 31x = 155 Divide each side by '31'. x = 5 Simplifying x = 5
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