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Simplifying -32 + 6(3x + 4) = (-5x + 38) + 3x Reorder the terms: -32 + 6(4 + 3x) = (-5x + 38) + 3x -32 + (4 * 6 + 3x * 6) = (-5x + 38) + 3x -32 + (24 + 18x) = (-5x + 38) + 3x Combine like terms: -32 + 24 = -8 -8 + 18x = (-5x + 38) + 3x Reorder the terms: -8 + 18x = (38 + -5x) + 3x Remove parenthesis around (38 + -5x) -8 + 18x = 38 + -5x + 3x Combine like terms: -5x + 3x = -2x -8 + 18x = 38 + -2x Solving -8 + 18x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 18x + 2x = 38 + -2x + 2x Combine like terms: 18x + 2x = 20x -8 + 20x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 20x = 38 + 0 -8 + 20x = 38 Add '8' to each side of the equation. -8 + 8 + 20x = 38 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = 38 + 8 20x = 38 + 8 Combine like terms: 38 + 8 = 46 20x = 46 Divide each side by '20'. x = 2.3 Simplifying x = 2.3
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