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Simplifying x + -6 = 45 + -14(x + 9) Reorder the terms: -6 + x = 45 + -14(x + 9) Reorder the terms: -6 + x = 45 + -14(9 + x) -6 + x = 45 + (9 * -14 + x * -14) -6 + x = 45 + (-126 + -14x) Combine like terms: 45 + -126 = -81 -6 + x = -81 + -14x Solving -6 + x = -81 + -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. -6 + x + 14x = -81 + -14x + 14x Combine like terms: x + 14x = 15x -6 + 15x = -81 + -14x + 14x Combine like terms: -14x + 14x = 0 -6 + 15x = -81 + 0 -6 + 15x = -81 Add '6' to each side of the equation. -6 + 6 + 15x = -81 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = -81 + 6 15x = -81 + 6 Combine like terms: -81 + 6 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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