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Simplifying -3x + -5 = 7x + -2(3x + -1) Reorder the terms: -5 + -3x = 7x + -2(3x + -1) Reorder the terms: -5 + -3x = 7x + -2(-1 + 3x) -5 + -3x = 7x + (-1 * -2 + 3x * -2) -5 + -3x = 7x + (2 + -6x) Reorder the terms: -5 + -3x = 2 + 7x + -6x Combine like terms: 7x + -6x = 1x -5 + -3x = 2 + 1x Solving -5 + -3x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -3x + -1x = 2 + 1x + -1x Combine like terms: -3x + -1x = -4x -5 + -4x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -4x = 2 + 0 -5 + -4x = 2 Add '5' to each side of the equation. -5 + 5 + -4x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 2 + 5 -4x = 2 + 5 Combine like terms: 2 + 5 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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