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