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Simplifying -1(6 + -4x) + 3x = 10 + -2(x + -1) (6 * -1 + -4x * -1) + 3x = 10 + -2(x + -1) (-6 + 4x) + 3x = 10 + -2(x + -1) Combine like terms: 4x + 3x = 7x -6 + 7x = 10 + -2(x + -1) Reorder the terms: -6 + 7x = 10 + -2(-1 + x) -6 + 7x = 10 + (-1 * -2 + x * -2) -6 + 7x = 10 + (2 + -2x) Combine like terms: 10 + 2 = 12 -6 + 7x = 12 + -2x Solving -6 + 7x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 7x + 2x = 12 + -2x + 2x Combine like terms: 7x + 2x = 9x -6 + 9x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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