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Simplifying 19x + 8 + -5x + 55 = 6x + 105 + -1x + -186 Reorder the terms: 8 + 55 + 19x + -5x = 6x + 105 + -1x + -186 Combine like terms: 8 + 55 = 63 63 + 19x + -5x = 6x + 105 + -1x + -186 Combine like terms: 19x + -5x = 14x 63 + 14x = 6x + 105 + -1x + -186 Reorder the terms: 63 + 14x = 105 + -186 + 6x + -1x Combine like terms: 105 + -186 = -81 63 + 14x = -81 + 6x + -1x Combine like terms: 6x + -1x = 5x 63 + 14x = -81 + 5x Solving 63 + 14x = -81 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 63 + 14x + -5x = -81 + 5x + -5x Combine like terms: 14x + -5x = 9x 63 + 9x = -81 + 5x + -5x Combine like terms: 5x + -5x = 0 63 + 9x = -81 + 0 63 + 9x = -81 Add '-63' to each side of the equation. 63 + -63 + 9x = -81 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = -81 + -63 9x = -81 + -63 Combine like terms: -81 + -63 = -144 9x = -144 Divide each side by '9'. x = -16 Simplifying x = -16
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