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Simplifying 7x + 2(4x + -18) = 114 Reorder the terms: 7x + 2(-18 + 4x) = 114 7x + (-18 * 2 + 4x * 2) = 114 7x + (-36 + 8x) = 114 Reorder the terms: -36 + 7x + 8x = 114 Combine like terms: 7x + 8x = 15x -36 + 15x = 114 Solving -36 + 15x = 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 + 15x = 114 + 36 Combine like terms: -36 + 36 = 0 0 + 15x = 114 + 36 15x = 114 + 36 Combine like terms: 114 + 36 = 150 15x = 150 Divide each side by '15'. x = 10 Simplifying x = 10
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