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Simplifying 13x + -7(5 + -3x) + x = 2x + 3(5 + -10x) 13x + (5 * -7 + -3x * -7) + x = 2x + 3(5 + -10x) 13x + (-35 + 21x) + x = 2x + 3(5 + -10x) Reorder the terms: -35 + 13x + 21x + x = 2x + 3(5 + -10x) Combine like terms: 13x + 21x = 34x -35 + 34x + x = 2x + 3(5 + -10x) Combine like terms: 34x + x = 35x -35 + 35x = 2x + 3(5 + -10x) -35 + 35x = 2x + (5 * 3 + -10x * 3) -35 + 35x = 2x + (15 + -30x) Reorder the terms: -35 + 35x = 15 + 2x + -30x Combine like terms: 2x + -30x = -28x -35 + 35x = 15 + -28x Solving -35 + 35x = 15 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -35 + 35x + 28x = 15 + -28x + 28x Combine like terms: 35x + 28x = 63x -35 + 63x = 15 + -28x + 28x Combine like terms: -28x + 28x = 0 -35 + 63x = 15 + 0 -35 + 63x = 15 Add '35' to each side of the equation. -35 + 35 + 63x = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 63x = 15 + 35 63x = 15 + 35 Combine like terms: 15 + 35 = 50 63x = 50 Divide each side by '63'. x = 0.7936507937 Simplifying x = 0.7936507937
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