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