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Simplifying 50 + 30 + -10x = 80 + 20 + -2x Combine like terms: 50 + 30 = 80 80 + -10x = 80 + 20 + -2x Combine like terms: 80 + 20 = 100 80 + -10x = 100 + -2x Solving 80 + -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. 80 + -10x + 2x = 100 + -2x + 2x Combine like terms: -10x + 2x = -8x 80 + -8x = 100 + -2x + 2x Combine like terms: -2x + 2x = 0 80 + -8x = 100 + 0 80 + -8x = 100 Add '-80' to each side of the equation. 80 + -80 + -8x = 100 + -80 Combine like terms: 80 + -80 = 0 0 + -8x = 100 + -80 -8x = 100 + -80 Combine like terms: 100 + -80 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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