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Simplifying 3(x + -11) + -7 = 14x + -117 Reorder the terms: 3(-11 + x) + -7 = 14x + -117 (-11 * 3 + x * 3) + -7 = 14x + -117 (-33 + 3x) + -7 = 14x + -117 Reorder the terms: -33 + -7 + 3x = 14x + -117 Combine like terms: -33 + -7 = -40 -40 + 3x = 14x + -117 Reorder the terms: -40 + 3x = -117 + 14x Solving -40 + 3x = -117 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -40 + 3x + -14x = -117 + 14x + -14x Combine like terms: 3x + -14x = -11x -40 + -11x = -117 + 14x + -14x Combine like terms: 14x + -14x = 0 -40 + -11x = -117 + 0 -40 + -11x = -117 Add '40' to each side of the equation. -40 + 40 + -11x = -117 + 40 Combine like terms: -40 + 40 = 0 0 + -11x = -117 + 40 -11x = -117 + 40 Combine like terms: -117 + 40 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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