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Simplifying 2x + 10 + 3x = -12x + 70 Reorder the terms: 10 + 2x + 3x = -12x + 70 Combine like terms: 2x + 3x = 5x 10 + 5x = -12x + 70 Reorder the terms: 10 + 5x = 70 + -12x Solving 10 + 5x = 70 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + 5x + 12x = 70 + -12x + 12x Combine like terms: 5x + 12x = 17x 10 + 17x = 70 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 17x = 70 + 0 10 + 17x = 70 Add '-10' to each side of the equation. 10 + -10 + 17x = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 70 + -10 17x = 70 + -10 Combine like terms: 70 + -10 = 60 17x = 60 Divide each side by '17'. x = 3.529411765 Simplifying x = 3.529411765
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