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