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Simplifying 9x + -1(2x + 3) = 4x + -45 Reorder the terms: 9x + -1(3 + 2x) = 4x + -45 9x + (3 * -1 + 2x * -1) = 4x + -45 9x + (-3 + -2x) = 4x + -45 Reorder the terms: -3 + 9x + -2x = 4x + -45 Combine like terms: 9x + -2x = 7x -3 + 7x = 4x + -45 Reorder the terms: -3 + 7x = -45 + 4x Solving -3 + 7x = -45 + 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 + 7x + -4x = -45 + 4x + -4x Combine like terms: 7x + -4x = 3x -3 + 3x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 3x = -45 + 0 -3 + 3x = -45 Add '3' to each side of the equation. -3 + 3 + 3x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -45 + 3 3x = -45 + 3 Combine like terms: -45 + 3 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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