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Simplifying 6x + 6(4x + -7) = 138 Reorder the terms: 6x + 6(-7 + 4x) = 138 6x + (-7 * 6 + 4x * 6) = 138 6x + (-42 + 24x) = 138 Reorder the terms: -42 + 6x + 24x = 138 Combine like terms: 6x + 24x = 30x -42 + 30x = 138 Solving -42 + 30x = 138 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 + 30x = 138 + 42 Combine like terms: -42 + 42 = 0 0 + 30x = 138 + 42 30x = 138 + 42 Combine like terms: 138 + 42 = 180 30x = 180 Divide each side by '30'. x = 6 Simplifying x = 6
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