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Simplifying -6(x + 4) + 3x + 6 = 5x + 9 Reorder the terms: -6(4 + x) + 3x + 6 = 5x + 9 (4 * -6 + x * -6) + 3x + 6 = 5x + 9 (-24 + -6x) + 3x + 6 = 5x + 9 Reorder the terms: -24 + 6 + -6x + 3x = 5x + 9 Combine like terms: -24 + 6 = -18 -18 + -6x + 3x = 5x + 9 Combine like terms: -6x + 3x = -3x -18 + -3x = 5x + 9 Reorder the terms: -18 + -3x = 9 + 5x Solving -18 + -3x = 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. -18 + -3x + -5x = 9 + 5x + -5x Combine like terms: -3x + -5x = -8x -18 + -8x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -8x = 9 + 0 -18 + -8x = 9 Add '18' to each side of the equation. -18 + 18 + -8x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = 9 + 18 -8x = 9 + 18 Combine like terms: 9 + 18 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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