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Simplifying 9 + -1(7x + -3) = 2x + 5(5 + -1x) Reorder the terms: 9 + -1(-3 + 7x) = 2x + 5(5 + -1x) 9 + (-3 * -1 + 7x * -1) = 2x + 5(5 + -1x) 9 + (3 + -7x) = 2x + 5(5 + -1x) Combine like terms: 9 + 3 = 12 12 + -7x = 2x + 5(5 + -1x) 12 + -7x = 2x + (5 * 5 + -1x * 5) 12 + -7x = 2x + (25 + -5x) Reorder the terms: 12 + -7x = 25 + 2x + -5x Combine like terms: 2x + -5x = -3x 12 + -7x = 25 + -3x Solving 12 + -7x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -7x + 3x = 25 + -3x + 3x Combine like terms: -7x + 3x = -4x 12 + -4x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -4x = 25 + 0 12 + -4x = 25 Add '-12' to each side of the equation. 12 + -12 + -4x = 25 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 25 + -12 -4x = 25 + -12 Combine like terms: 25 + -12 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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