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Simplifying 4(3x + 2) + -9 = 8x + 7 Reorder the terms: 4(2 + 3x) + -9 = 8x + 7 (2 * 4 + 3x * 4) + -9 = 8x + 7 (8 + 12x) + -9 = 8x + 7 Reorder the terms: 8 + -9 + 12x = 8x + 7 Combine like terms: 8 + -9 = -1 -1 + 12x = 8x + 7 Reorder the terms: -1 + 12x = 7 + 8x Solving -1 + 12x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 12x + -8x = 7 + 8x + -8x Combine like terms: 12x + -8x = 4x -1 + 4x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 4x = 7 + 0 -1 + 4x = 7 Add '1' to each side of the equation. -1 + 1 + 4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 7 + 1 4x = 7 + 1 Combine like terms: 7 + 1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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