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Simplifying 3x + 5 + 10x + -8 = 7x + 5 Reorder the terms: 5 + -8 + 3x + 10x = 7x + 5 Combine like terms: 5 + -8 = -3 -3 + 3x + 10x = 7x + 5 Combine like terms: 3x + 10x = 13x -3 + 13x = 7x + 5 Reorder the terms: -3 + 13x = 5 + 7x Solving -3 + 13x = 5 + 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. -3 + 13x + -7x = 5 + 7x + -7x Combine like terms: 13x + -7x = 6x -3 + 6x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 6x = 5 + 0 -3 + 6x = 5 Add '3' to each side of the equation. -3 + 3 + 6x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 5 + 3 6x = 5 + 3 Combine like terms: 5 + 3 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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