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Simplifying 1x + -6(-3x + -16) + 189 + -1(2x + 3) + -11x + 14 = 0 Reorder the terms: 1x + -6(-16 + -3x) + 189 + -1(2x + 3) + -11x + 14 = 0 1x + (-16 * -6 + -3x * -6) + 189 + -1(2x + 3) + -11x + 14 = 0 1x + (96 + 18x) + 189 + -1(2x + 3) + -11x + 14 = 0 Reorder the terms: 1x + 96 + 18x + 189 + -1(3 + 2x) + -11x + 14 = 0 1x + 96 + 18x + 189 + (3 * -1 + 2x * -1) + -11x + 14 = 0 1x + 96 + 18x + 189 + (-3 + -2x) + -11x + 14 = 0 Reorder the terms: 96 + 189 + -3 + 14 + 1x + 18x + -2x + -11x = 0 Combine like terms: 96 + 189 = 285 285 + -3 + 14 + 1x + 18x + -2x + -11x = 0 Combine like terms: 285 + -3 = 282 282 + 14 + 1x + 18x + -2x + -11x = 0 Combine like terms: 282 + 14 = 296 296 + 1x + 18x + -2x + -11x = 0 Combine like terms: 1x + 18x = 19x 296 + 19x + -2x + -11x = 0 Combine like terms: 19x + -2x = 17x 296 + 17x + -11x = 0 Combine like terms: 17x + -11x = 6x 296 + 6x = 0 Solving 296 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-296' to each side of the equation. 296 + -296 + 6x = 0 + -296 Combine like terms: 296 + -296 = 0 0 + 6x = 0 + -296 6x = 0 + -296 Combine like terms: 0 + -296 = -296 6x = -296 Divide each side by '6'. x = -49.33333333 Simplifying x = -49.33333333
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