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Simplifying 6x + 5x + -4x + -10 = 8x + 100 Reorder the terms: -10 + 6x + 5x + -4x = 8x + 100 Combine like terms: 6x + 5x = 11x -10 + 11x + -4x = 8x + 100 Combine like terms: 11x + -4x = 7x -10 + 7x = 8x + 100 Reorder the terms: -10 + 7x = 100 + 8x Solving -10 + 7x = 100 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 7x + -8x = 100 + 8x + -8x Combine like terms: 7x + -8x = -1x -10 + -1x = 100 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -1x = 100 + 0 -10 + -1x = 100 Add '10' to each side of the equation. -10 + 10 + -1x = 100 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 100 + 10 -1x = 100 + 10 Combine like terms: 100 + 10 = 110 -1x = 110 Divide each side by '-1'. x = -110 Simplifying x = -110
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