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Simplifying -9(x + 2) + 4x + 7 = 7x + 12 Reorder the terms: -9(2 + x) + 4x + 7 = 7x + 12 (2 * -9 + x * -9) + 4x + 7 = 7x + 12 (-18 + -9x) + 4x + 7 = 7x + 12 Reorder the terms: -18 + 7 + -9x + 4x = 7x + 12 Combine like terms: -18 + 7 = -11 -11 + -9x + 4x = 7x + 12 Combine like terms: -9x + 4x = -5x -11 + -5x = 7x + 12 Reorder the terms: -11 + -5x = 12 + 7x Solving -11 + -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. -11 + -5x + -7x = 12 + 7x + -7x Combine like terms: -5x + -7x = -12x -11 + -12x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -12x = 12 + 0 -11 + -12x = 12 Add '11' to each side of the equation. -11 + 11 + -12x = 12 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = 12 + 11 -12x = 12 + 11 Combine like terms: 12 + 11 = 23 -12x = 23 Divide each side by '-12'. x = -1.916666667 Simplifying x = -1.916666667
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