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Simplifying -6(x + 4) + 4x + 7 = 7x + 9 Reorder the terms: -6(4 + x) + 4x + 7 = 7x + 9 (4 * -6 + x * -6) + 4x + 7 = 7x + 9 (-24 + -6x) + 4x + 7 = 7x + 9 Reorder the terms: -24 + 7 + -6x + 4x = 7x + 9 Combine like terms: -24 + 7 = -17 -17 + -6x + 4x = 7x + 9 Combine like terms: -6x + 4x = -2x -17 + -2x = 7x + 9 Reorder the terms: -17 + -2x = 9 + 7x Solving -17 + -2x = 9 + 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. -17 + -2x + -7x = 9 + 7x + -7x Combine like terms: -2x + -7x = -9x -17 + -9x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -9x = 9 + 0 -17 + -9x = 9 Add '17' to each side of the equation. -17 + 17 + -9x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + -9x = 9 + 17 -9x = 9 + 17 Combine like terms: 9 + 17 = 26 -9x = 26 Divide each side by '-9'. x = -2.888888889 Simplifying x = -2.888888889
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