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Simplifying 4x + -6(23 + 7y) = 14 4x + (23 * -6 + 7y * -6) = 14 4x + (-138 + -42y) = 14 Reorder the terms: -138 + 4x + -42y = 14 Solving -138 + 4x + -42y = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '138' to each side of the equation. -138 + 4x + 138 + -42y = 14 + 138 Reorder the terms: -138 + 138 + 4x + -42y = 14 + 138 Combine like terms: -138 + 138 = 0 0 + 4x + -42y = 14 + 138 4x + -42y = 14 + 138 Combine like terms: 14 + 138 = 152 4x + -42y = 152 Add '42y' to each side of the equation. 4x + -42y + 42y = 152 + 42y Combine like terms: -42y + 42y = 0 4x + 0 = 152 + 42y 4x = 152 + 42y Divide each side by '4'. x = 38 + 10.5y Simplifying x = 38 + 10.5y
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