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Simplifying 2x + -1(6 + -3x) = 4x + -7 2x + (6 * -1 + -3x * -1) = 4x + -7 2x + (-6 + 3x) = 4x + -7 Reorder the terms: -6 + 2x + 3x = 4x + -7 Combine like terms: 2x + 3x = 5x -6 + 5x = 4x + -7 Reorder the terms: -6 + 5x = -7 + 4x Solving -6 + 5x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 5x + -4x = -7 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = -7 + 0 -6 + 1x = -7 Add '6' to each side of the equation. -6 + 6 + 1x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -7 + 6 1x = -7 + 6 Combine like terms: -7 + 6 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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