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Simplifying 6x + -1(-4x + 3) = 7x + -2 + -6 + -1x + -3 Reorder the terms: 6x + -1(3 + -4x) = 7x + -2 + -6 + -1x + -3 6x + (3 * -1 + -4x * -1) = 7x + -2 + -6 + -1x + -3 6x + (-3 + 4x) = 7x + -2 + -6 + -1x + -3 Reorder the terms: -3 + 6x + 4x = 7x + -2 + -6 + -1x + -3 Combine like terms: 6x + 4x = 10x -3 + 10x = 7x + -2 + -6 + -1x + -3 Reorder the terms: -3 + 10x = -2 + -6 + -3 + 7x + -1x Combine like terms: -2 + -6 = -8 -3 + 10x = -8 + -3 + 7x + -1x Combine like terms: -8 + -3 = -11 -3 + 10x = -11 + 7x + -1x Combine like terms: 7x + -1x = 6x -3 + 10x = -11 + 6x Solving -3 + 10x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 10x + -6x = -11 + 6x + -6x Combine like terms: 10x + -6x = 4x -3 + 4x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 4x = -11 + 0 -3 + 4x = -11 Add '3' to each side of the equation. -3 + 3 + 4x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -11 + 3 4x = -11 + 3 Combine like terms: -11 + 3 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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