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Simplifying 10x + 5 + 0 = -2x + 30 + 40 Reorder the terms: 5 + 0 + 10x = -2x + 30 + 40 Combine like terms: 5 + 0 = 5 5 + 10x = -2x + 30 + 40 Reorder the terms: 5 + 10x = 30 + 40 + -2x Combine like terms: 30 + 40 = 70 5 + 10x = 70 + -2x Solving 5 + 10x = 70 + -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. 5 + 10x + 2x = 70 + -2x + 2x Combine like terms: 10x + 2x = 12x 5 + 12x = 70 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 12x = 70 + 0 5 + 12x = 70 Add '-5' to each side of the equation. 5 + -5 + 12x = 70 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 70 + -5 12x = 70 + -5 Combine like terms: 70 + -5 = 65 12x = 65 Divide each side by '12'. x = 5.416666667 Simplifying x = 5.416666667
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