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