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Simplifying 3x + -17 + -6(14x + 14) = -5 + 7(-11x + 14) + -2(-13x + -2) Reorder the terms: 3x + -17 + -6(14 + 14x) = -5 + 7(-11x + 14) + -2(-13x + -2) 3x + -17 + (14 * -6 + 14x * -6) = -5 + 7(-11x + 14) + -2(-13x + -2) 3x + -17 + (-84 + -84x) = -5 + 7(-11x + 14) + -2(-13x + -2) Reorder the terms: -17 + -84 + 3x + -84x = -5 + 7(-11x + 14) + -2(-13x + -2) Combine like terms: -17 + -84 = -101 -101 + 3x + -84x = -5 + 7(-11x + 14) + -2(-13x + -2) Combine like terms: 3x + -84x = -81x -101 + -81x = -5 + 7(-11x + 14) + -2(-13x + -2) Reorder the terms: -101 + -81x = -5 + 7(14 + -11x) + -2(-13x + -2) -101 + -81x = -5 + (14 * 7 + -11x * 7) + -2(-13x + -2) -101 + -81x = -5 + (98 + -77x) + -2(-13x + -2) Reorder the terms: -101 + -81x = -5 + 98 + -77x + -2(-2 + -13x) -101 + -81x = -5 + 98 + -77x + (-2 * -2 + -13x * -2) -101 + -81x = -5 + 98 + -77x + (4 + 26x) Reorder the terms: -101 + -81x = -5 + 98 + 4 + -77x + 26x Combine like terms: -5 + 98 = 93 -101 + -81x = 93 + 4 + -77x + 26x Combine like terms: 93 + 4 = 97 -101 + -81x = 97 + -77x + 26x Combine like terms: -77x + 26x = -51x -101 + -81x = 97 + -51x Solving -101 + -81x = 97 + -51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51x' to each side of the equation. -101 + -81x + 51x = 97 + -51x + 51x Combine like terms: -81x + 51x = -30x -101 + -30x = 97 + -51x + 51x Combine like terms: -51x + 51x = 0 -101 + -30x = 97 + 0 -101 + -30x = 97 Add '101' to each side of the equation. -101 + 101 + -30x = 97 + 101 Combine like terms: -101 + 101 = 0 0 + -30x = 97 + 101 -30x = 97 + 101 Combine like terms: 97 + 101 = 198 -30x = 198 Divide each side by '-30'. x = -6.6 Simplifying x = -6.6
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