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Simplifying 3x + -1(-2x + 6) = 3x + 5 + -2x + 1 Reorder the terms: 3x + -1(6 + -2x) = 3x + 5 + -2x + 1 3x + (6 * -1 + -2x * -1) = 3x + 5 + -2x + 1 3x + (-6 + 2x) = 3x + 5 + -2x + 1 Reorder the terms: -6 + 3x + 2x = 3x + 5 + -2x + 1 Combine like terms: 3x + 2x = 5x -6 + 5x = 3x + 5 + -2x + 1 Reorder the terms: -6 + 5x = 5 + 1 + 3x + -2x Combine like terms: 5 + 1 = 6 -6 + 5x = 6 + 3x + -2x Combine like terms: 3x + -2x = 1x -6 + 5x = 6 + 1x Solving -6 + 5x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 5x + -1x = 6 + 1x + -1x Combine like terms: 5x + -1x = 4x -6 + 4x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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