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Simplifying -2x + -204 = 14x + 84 Reorder the terms: -204 + -2x = 14x + 84 Reorder the terms: -204 + -2x = 84 + 14x Solving -204 + -2x = 84 + 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. -204 + -2x + -14x = 84 + 14x + -14x Combine like terms: -2x + -14x = -16x -204 + -16x = 84 + 14x + -14x Combine like terms: 14x + -14x = 0 -204 + -16x = 84 + 0 -204 + -16x = 84 Add '204' to each side of the equation. -204 + 204 + -16x = 84 + 204 Combine like terms: -204 + 204 = 0 0 + -16x = 84 + 204 -16x = 84 + 204 Combine like terms: 84 + 204 = 288 -16x = 288 Divide each side by '-16'. x = -18 Simplifying x = -18
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