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Simplifying -6(x + 2) + 4x + 5 = 5x + 9 Reorder the terms: -6(2 + x) + 4x + 5 = 5x + 9 (2 * -6 + x * -6) + 4x + 5 = 5x + 9 (-12 + -6x) + 4x + 5 = 5x + 9 Reorder the terms: -12 + 5 + -6x + 4x = 5x + 9 Combine like terms: -12 + 5 = -7 -7 + -6x + 4x = 5x + 9 Combine like terms: -6x + 4x = -2x -7 + -2x = 5x + 9 Reorder the terms: -7 + -2x = 9 + 5x Solving -7 + -2x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -2x + -5x = 9 + 5x + -5x Combine like terms: -2x + -5x = -7x -7 + -7x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -7x = 9 + 0 -7 + -7x = 9 Add '7' to each side of the equation. -7 + 7 + -7x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 9 + 7 -7x = 9 + 7 Combine like terms: 9 + 7 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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