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Simplifying 9x + -1(4x + -3) = 11 + 2(2x + -7) Reorder the terms: 9x + -1(-3 + 4x) = 11 + 2(2x + -7) 9x + (-3 * -1 + 4x * -1) = 11 + 2(2x + -7) 9x + (3 + -4x) = 11 + 2(2x + -7) Reorder the terms: 3 + 9x + -4x = 11 + 2(2x + -7) Combine like terms: 9x + -4x = 5x 3 + 5x = 11 + 2(2x + -7) Reorder the terms: 3 + 5x = 11 + 2(-7 + 2x) 3 + 5x = 11 + (-7 * 2 + 2x * 2) 3 + 5x = 11 + (-14 + 4x) Combine like terms: 11 + -14 = -3 3 + 5x = -3 + 4x Solving 3 + 5x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 5x + -4x = -3 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = -3 + 0 3 + 1x = -3 Add '-3' to each side of the equation. 3 + -3 + 1x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -3 + -3 1x = -3 + -3 Combine like terms: -3 + -3 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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