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Simplifying 3x + -1(5 + -1x) = 6 + -1x + 4 3x + (5 * -1 + -1x * -1) = 6 + -1x + 4 3x + (-5 + 1x) = 6 + -1x + 4 Reorder the terms: -5 + 3x + 1x = 6 + -1x + 4 Combine like terms: 3x + 1x = 4x -5 + 4x = 6 + -1x + 4 Reorder the terms: -5 + 4x = 6 + 4 + -1x Combine like terms: 6 + 4 = 10 -5 + 4x = 10 + -1x Solving -5 + 4x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 4x + x = 10 + -1x + x Combine like terms: 4x + x = 5x -5 + 5x = 10 + -1x + x Combine like terms: -1x + x = 0 -5 + 5x = 10 + 0 -5 + 5x = 10 Add '5' to each side of the equation. -5 + 5 + 5x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 10 + 5 5x = 10 + 5 Combine like terms: 10 + 5 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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