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Simplifying 3(x + -2) + 7x = -1 + 5x + 5 Reorder the terms: 3(-2 + x) + 7x = -1 + 5x + 5 (-2 * 3 + x * 3) + 7x = -1 + 5x + 5 (-6 + 3x) + 7x = -1 + 5x + 5 Combine like terms: 3x + 7x = 10x -6 + 10x = -1 + 5x + 5 Reorder the terms: -6 + 10x = -1 + 5 + 5x Combine like terms: -1 + 5 = 4 -6 + 10x = 4 + 5x Solving -6 + 10x = 4 + 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. -6 + 10x + -5x = 4 + 5x + -5x Combine like terms: 10x + -5x = 5x -6 + 5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 5x = 4 + 0 -6 + 5x = 4 Add '6' to each side of the equation. -6 + 6 + 5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 4 + 6 5x = 4 + 6 Combine like terms: 4 + 6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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