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Simplifying -9(x + 2) + 4x + 5 = 7x + 7 Reorder the terms: -9(2 + x) + 4x + 5 = 7x + 7 (2 * -9 + x * -9) + 4x + 5 = 7x + 7 (-18 + -9x) + 4x + 5 = 7x + 7 Reorder the terms: -18 + 5 + -9x + 4x = 7x + 7 Combine like terms: -18 + 5 = -13 -13 + -9x + 4x = 7x + 7 Combine like terms: -9x + 4x = -5x -13 + -5x = 7x + 7 Reorder the terms: -13 + -5x = 7 + 7x Solving -13 + -5x = 7 + 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. -13 + -5x + -7x = 7 + 7x + -7x Combine like terms: -5x + -7x = -12x -13 + -12x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -12x = 7 + 0 -13 + -12x = 7 Add '13' to each side of the equation. -13 + 13 + -12x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -12x = 7 + 13 -12x = 7 + 13 Combine like terms: 7 + 13 = 20 -12x = 20 Divide each side by '-12'. x = -1.666666667 Simplifying x = -1.666666667
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