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Simplifying -9(x + 4) + 3x + 7 = 8x + 12 Reorder the terms: -9(4 + x) + 3x + 7 = 8x + 12 (4 * -9 + x * -9) + 3x + 7 = 8x + 12 (-36 + -9x) + 3x + 7 = 8x + 12 Reorder the terms: -36 + 7 + -9x + 3x = 8x + 12 Combine like terms: -36 + 7 = -29 -29 + -9x + 3x = 8x + 12 Combine like terms: -9x + 3x = -6x -29 + -6x = 8x + 12 Reorder the terms: -29 + -6x = 12 + 8x Solving -29 + -6x = 12 + 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. -29 + -6x + -8x = 12 + 8x + -8x Combine like terms: -6x + -8x = -14x -29 + -14x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -29 + -14x = 12 + 0 -29 + -14x = 12 Add '29' to each side of the equation. -29 + 29 + -14x = 12 + 29 Combine like terms: -29 + 29 = 0 0 + -14x = 12 + 29 -14x = 12 + 29 Combine like terms: 12 + 29 = 41 -14x = 41 Divide each side by '-14'. x = -2.928571429 Simplifying x = -2.928571429
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