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Simplifying -9(x + 4) + 2x + 5 = 7x + 6 Reorder the terms: -9(4 + x) + 2x + 5 = 7x + 6 (4 * -9 + x * -9) + 2x + 5 = 7x + 6 (-36 + -9x) + 2x + 5 = 7x + 6 Reorder the terms: -36 + 5 + -9x + 2x = 7x + 6 Combine like terms: -36 + 5 = -31 -31 + -9x + 2x = 7x + 6 Combine like terms: -9x + 2x = -7x -31 + -7x = 7x + 6 Reorder the terms: -31 + -7x = 6 + 7x Solving -31 + -7x = 6 + 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. -31 + -7x + -7x = 6 + 7x + -7x Combine like terms: -7x + -7x = -14x -31 + -14x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + -14x = 6 + 0 -31 + -14x = 6 Add '31' to each side of the equation. -31 + 31 + -14x = 6 + 31 Combine like terms: -31 + 31 = 0 0 + -14x = 6 + 31 -14x = 6 + 31 Combine like terms: 6 + 31 = 37 -14x = 37 Divide each side by '-14'. x = -2.642857143 Simplifying x = -2.642857143
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