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