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Simplifying -10x + 20 = 2x + 100 Reorder the terms: 20 + -10x = 2x + 100 Reorder the terms: 20 + -10x = 100 + 2x Solving 20 + -10x = 100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -10x + -2x = 100 + 2x + -2x Combine like terms: -10x + -2x = -12x 20 + -12x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -12x = 100 + 0 20 + -12x = 100 Add '-20' to each side of the equation. 20 + -20 + -12x = 100 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = 100 + -20 -12x = 100 + -20 Combine like terms: 100 + -20 = 80 -12x = 80 Divide each side by '-12'. x = -6.666666667 Simplifying x = -6.666666667
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