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Simplifying 6x + 7(4x + -6) = 162 Reorder the terms: 6x + 7(-6 + 4x) = 162 6x + (-6 * 7 + 4x * 7) = 162 6x + (-42 + 28x) = 162 Reorder the terms: -42 + 6x + 28x = 162 Combine like terms: 6x + 28x = 34x -42 + 34x = 162 Solving -42 + 34x = 162 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 + 34x = 162 + 42 Combine like terms: -42 + 42 = 0 0 + 34x = 162 + 42 34x = 162 + 42 Combine like terms: 162 + 42 = 204 34x = 204 Divide each side by '34'. x = 6 Simplifying x = 6
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