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Simplifying 9x + 7(3x + -4) = 7 + -5x Reorder the terms: 9x + 7(-4 + 3x) = 7 + -5x 9x + (-4 * 7 + 3x * 7) = 7 + -5x 9x + (-28 + 21x) = 7 + -5x Reorder the terms: -28 + 9x + 21x = 7 + -5x Combine like terms: 9x + 21x = 30x -28 + 30x = 7 + -5x Solving -28 + 30x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -28 + 30x + 5x = 7 + -5x + 5x Combine like terms: 30x + 5x = 35x -28 + 35x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -28 + 35x = 7 + 0 -28 + 35x = 7 Add '28' to each side of the equation. -28 + 28 + 35x = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 35x = 7 + 28 35x = 7 + 28 Combine like terms: 7 + 28 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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