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Simplifying 19x + -10 + -1x + -35 = 5x + -9 + 4x + -81 Reorder the terms: -10 + -35 + 19x + -1x = 5x + -9 + 4x + -81 Combine like terms: -10 + -35 = -45 -45 + 19x + -1x = 5x + -9 + 4x + -81 Combine like terms: 19x + -1x = 18x -45 + 18x = 5x + -9 + 4x + -81 Reorder the terms: -45 + 18x = -9 + -81 + 5x + 4x Combine like terms: -9 + -81 = -90 -45 + 18x = -90 + 5x + 4x Combine like terms: 5x + 4x = 9x -45 + 18x = -90 + 9x Solving -45 + 18x = -90 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -45 + 18x + -9x = -90 + 9x + -9x Combine like terms: 18x + -9x = 9x -45 + 9x = -90 + 9x + -9x Combine like terms: 9x + -9x = 0 -45 + 9x = -90 + 0 -45 + 9x = -90 Add '45' to each side of the equation. -45 + 45 + 9x = -90 + 45 Combine like terms: -45 + 45 = 0 0 + 9x = -90 + 45 9x = -90 + 45 Combine like terms: -90 + 45 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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