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Simplifying 5x + -1(2x + 3) = 7x + 9 Reorder the terms: 5x + -1(3 + 2x) = 7x + 9 5x + (3 * -1 + 2x * -1) = 7x + 9 5x + (-3 + -2x) = 7x + 9 Reorder the terms: -3 + 5x + -2x = 7x + 9 Combine like terms: 5x + -2x = 3x -3 + 3x = 7x + 9 Reorder the terms: -3 + 3x = 9 + 7x Solving -3 + 3x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 3x + -7x = 9 + 7x + -7x Combine like terms: 3x + -7x = -4x -3 + -4x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -4x = 9 + 0 -3 + -4x = 9 Add '3' to each side of the equation. -3 + 3 + -4x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 9 + 3 -4x = 9 + 3 Combine like terms: 9 + 3 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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