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Simplifying 7x + 3(x + -1) = 5x + 13 Reorder the terms: 7x + 3(-1 + x) = 5x + 13 7x + (-1 * 3 + x * 3) = 5x + 13 7x + (-3 + 3x) = 5x + 13 Reorder the terms: -3 + 7x + 3x = 5x + 13 Combine like terms: 7x + 3x = 10x -3 + 10x = 5x + 13 Reorder the terms: -3 + 10x = 13 + 5x Solving -3 + 10x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 10x + -5x = 13 + 5x + -5x Combine like terms: 10x + -5x = 5x -3 + 5x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 5x = 13 + 0 -3 + 5x = 13 Add '3' to each side of the equation. -3 + 3 + 5x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 13 + 3 5x = 13 + 3 Combine like terms: 13 + 3 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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