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Simplifying 4x + 3(x + -1) = 2x + 7 Reorder the terms: 4x + 3(-1 + x) = 2x + 7 4x + (-1 * 3 + x * 3) = 2x + 7 4x + (-3 + 3x) = 2x + 7 Reorder the terms: -3 + 4x + 3x = 2x + 7 Combine like terms: 4x + 3x = 7x -3 + 7x = 2x + 7 Reorder the terms: -3 + 7x = 7 + 2x Solving -3 + 7x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 7x + -2x = 7 + 2x + -2x Combine like terms: 7x + -2x = 5x -3 + 5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 5x = 7 + 0 -3 + 5x = 7 Add '3' to each side of the equation. -3 + 3 + 5x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 7 + 3 5x = 7 + 3 Combine like terms: 7 + 3 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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