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Simplifying 9(2x + -1) + 3x + 4 = 12x + 5 + 7x Reorder the terms: 9(-1 + 2x) + 3x + 4 = 12x + 5 + 7x (-1 * 9 + 2x * 9) + 3x + 4 = 12x + 5 + 7x (-9 + 18x) + 3x + 4 = 12x + 5 + 7x Reorder the terms: -9 + 4 + 18x + 3x = 12x + 5 + 7x Combine like terms: -9 + 4 = -5 -5 + 18x + 3x = 12x + 5 + 7x Combine like terms: 18x + 3x = 21x -5 + 21x = 12x + 5 + 7x Reorder the terms: -5 + 21x = 5 + 12x + 7x Combine like terms: 12x + 7x = 19x -5 + 21x = 5 + 19x Solving -5 + 21x = 5 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -5 + 21x + -19x = 5 + 19x + -19x Combine like terms: 21x + -19x = 2x -5 + 2x = 5 + 19x + -19x Combine like terms: 19x + -19x = 0 -5 + 2x = 5 + 0 -5 + 2x = 5 Add '5' to each side of the equation. -5 + 5 + 2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 5 + 5 2x = 5 + 5 Combine like terms: 5 + 5 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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