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Simplifying 3x + -7 = 84 + -10x Reorder the terms: -7 + 3x = 84 + -10x Solving -7 + 3x = 84 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7 + 3x + 10x = 84 + -10x + 10x Combine like terms: 3x + 10x = 13x -7 + 13x = 84 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 13x = 84 + 0 -7 + 13x = 84 Add '7' to each side of the equation. -7 + 7 + 13x = 84 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 84 + 7 13x = 84 + 7 Combine like terms: 84 + 7 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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