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Simplifying 6(x + -4) + 7 = 9x + 5 Reorder the terms: 6(-4 + x) + 7 = 9x + 5 (-4 * 6 + x * 6) + 7 = 9x + 5 (-24 + 6x) + 7 = 9x + 5 Reorder the terms: -24 + 7 + 6x = 9x + 5 Combine like terms: -24 + 7 = -17 -17 + 6x = 9x + 5 Reorder the terms: -17 + 6x = 5 + 9x Solving -17 + 6x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -17 + 6x + -9x = 5 + 9x + -9x Combine like terms: 6x + -9x = -3x -17 + -3x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -17 + -3x = 5 + 0 -17 + -3x = 5 Add '17' to each side of the equation. -17 + 17 + -3x = 5 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 5 + 17 -3x = 5 + 17 Combine like terms: 5 + 17 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333
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