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Simplifying 7x + 3(6x + -12) = 114 Reorder the terms: 7x + 3(-12 + 6x) = 114 7x + (-12 * 3 + 6x * 3) = 114 7x + (-36 + 18x) = 114 Reorder the terms: -36 + 7x + 18x = 114 Combine like terms: 7x + 18x = 25x -36 + 25x = 114 Solving -36 + 25x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 25x = 114 + 36 Combine like terms: -36 + 36 = 0 0 + 25x = 114 + 36 25x = 114 + 36 Combine like terms: 114 + 36 = 150 25x = 150 Divide each side by '25'. x = 6 Simplifying x = 6
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