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Simplifying 17x + -3(4 + x) = 114 17x + (4 * -3 + x * -3) = 114 17x + (-12 + -3x) = 114 Reorder the terms: -12 + 17x + -3x = 114 Combine like terms: 17x + -3x = 14x -12 + 14x = 114 Solving -12 + 14x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14x = 114 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 114 + 12 14x = 114 + 12 Combine like terms: 114 + 12 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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