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Simplifying -6(-2x + 3 + -4x) = 5(2 + -14x + -5) Reorder the terms: -6(3 + -2x + -4x) = 5(2 + -14x + -5) Combine like terms: -2x + -4x = -6x -6(3 + -6x) = 5(2 + -14x + -5) (3 * -6 + -6x * -6) = 5(2 + -14x + -5) (-18 + 36x) = 5(2 + -14x + -5) Reorder the terms: -18 + 36x = 5(2 + -5 + -14x) Combine like terms: 2 + -5 = -3 -18 + 36x = 5(-3 + -14x) -18 + 36x = (-3 * 5 + -14x * 5) -18 + 36x = (-15 + -70x) Solving -18 + 36x = -15 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. -18 + 36x + 70x = -15 + -70x + 70x Combine like terms: 36x + 70x = 106x -18 + 106x = -15 + -70x + 70x Combine like terms: -70x + 70x = 0 -18 + 106x = -15 + 0 -18 + 106x = -15 Add '18' to each side of the equation. -18 + 18 + 106x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 106x = -15 + 18 106x = -15 + 18 Combine like terms: -15 + 18 = 3 106x = 3 Divide each side by '106'. x = 0.02830188679 Simplifying x = 0.02830188679
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