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Simplifying 7x + -1(9x + 5) = 2x + -45 Reorder the terms: 7x + -1(5 + 9x) = 2x + -45 7x + (5 * -1 + 9x * -1) = 2x + -45 7x + (-5 + -9x) = 2x + -45 Reorder the terms: -5 + 7x + -9x = 2x + -45 Combine like terms: 7x + -9x = -2x -5 + -2x = 2x + -45 Reorder the terms: -5 + -2x = -45 + 2x Solving -5 + -2x = -45 + 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. -5 + -2x + -2x = -45 + 2x + -2x Combine like terms: -2x + -2x = -4x -5 + -4x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -4x = -45 + 0 -5 + -4x = -45 Add '5' to each side of the equation. -5 + 5 + -4x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -45 + 5 -4x = -45 + 5 Combine like terms: -45 + 5 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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