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Simplifying 3(x + -2) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x Reorder the terms: 3(-2 + x) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x (-2 * 3 + x * 3) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x (-6 + 3x) + -1(2 + -5x) = 4 + -6(2 + -3x) + -7x -6 + 3x + (2 * -1 + -5x * -1) = 4 + -6(2 + -3x) + -7x -6 + 3x + (-2 + 5x) = 4 + -6(2 + -3x) + -7x Reorder the terms: -6 + -2 + 3x + 5x = 4 + -6(2 + -3x) + -7x Combine like terms: -6 + -2 = -8 -8 + 3x + 5x = 4 + -6(2 + -3x) + -7x Combine like terms: 3x + 5x = 8x -8 + 8x = 4 + -6(2 + -3x) + -7x -8 + 8x = 4 + (2 * -6 + -3x * -6) + -7x -8 + 8x = 4 + (-12 + 18x) + -7x Combine like terms: 4 + -12 = -8 -8 + 8x = -8 + 18x + -7x Combine like terms: 18x + -7x = 11x -8 + 8x = -8 + 11x Add '8' to each side of the equation. -8 + 8 + 8x = -8 + 8 + 11x Combine like terms: -8 + 8 = 0 0 + 8x = -8 + 8 + 11x 8x = -8 + 8 + 11x Combine like terms: -8 + 8 = 0 8x = 0 + 11x 8x = 11x Solving 8x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8x + -11x = 11x + -11x Combine like terms: 8x + -11x = -3x -3x = 11x + -11x Combine like terms: 11x + -11x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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