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Simplifying 9x + -1(7x + 3) = 9x + -45 Reorder the terms: 9x + -1(3 + 7x) = 9x + -45 9x + (3 * -1 + 7x * -1) = 9x + -45 9x + (-3 + -7x) = 9x + -45 Reorder the terms: -3 + 9x + -7x = 9x + -45 Combine like terms: 9x + -7x = 2x -3 + 2x = 9x + -45 Reorder the terms: -3 + 2x = -45 + 9x Solving -3 + 2x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 2x + -9x = -45 + 9x + -9x Combine like terms: 2x + -9x = -7x -3 + -7x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -7x = -45 + 0 -3 + -7x = -45 Add '3' to each side of the equation. -3 + 3 + -7x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -45 + 3 -7x = -45 + 3 Combine like terms: -45 + 3 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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