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Simplifying -9(x + 4) + 4x + 7 = 7x + 12 Reorder the terms: -9(4 + x) + 4x + 7 = 7x + 12 (4 * -9 + x * -9) + 4x + 7 = 7x + 12 (-36 + -9x) + 4x + 7 = 7x + 12 Reorder the terms: -36 + 7 + -9x + 4x = 7x + 12 Combine like terms: -36 + 7 = -29 -29 + -9x + 4x = 7x + 12 Combine like terms: -9x + 4x = -5x -29 + -5x = 7x + 12 Reorder the terms: -29 + -5x = 12 + 7x Solving -29 + -5x = 12 + 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. -29 + -5x + -7x = 12 + 7x + -7x Combine like terms: -5x + -7x = -12x -29 + -12x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -29 + -12x = 12 + 0 -29 + -12x = 12 Add '29' to each side of the equation. -29 + 29 + -12x = 12 + 29 Combine like terms: -29 + 29 = 0 0 + -12x = 12 + 29 -12x = 12 + 29 Combine like terms: 12 + 29 = 41 -12x = 41 Divide each side by '-12'. x = -3.416666667 Simplifying x = -3.416666667
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