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Simplifying 3x + 2 + 10x = 7 + 7x + (-17) Reorder the terms: 2 + 3x + 10x = 7 + 7x + (-17) Combine like terms: 3x + 10x = 13x 2 + 13x = 7 + 7x + (-17) 2 + 13x = 7 + 7x + -17 Reorder the terms: 2 + 13x = 7 + -17 + 7x Combine like terms: 7 + -17 = -10 2 + 13x = -10 + 7x Solving 2 + 13x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 13x + -7x = -10 + 7x + -7x Combine like terms: 13x + -7x = 6x 2 + 6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 6x = -10 + 0 2 + 6x = -10 Add '-2' to each side of the equation. 2 + -2 + 6x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -10 + -2 6x = -10 + -2 Combine like terms: -10 + -2 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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