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Simplifying -32 + 6(3x + 4) = -1(-5x + 38) + 3x Reorder the terms: -32 + 6(4 + 3x) = -1(-5x + 38) + 3x -32 + (4 * 6 + 3x * 6) = -1(-5x + 38) + 3x -32 + (24 + 18x) = -1(-5x + 38) + 3x Combine like terms: -32 + 24 = -8 -8 + 18x = -1(-5x + 38) + 3x Reorder the terms: -8 + 18x = -1(38 + -5x) + 3x -8 + 18x = (38 * -1 + -5x * -1) + 3x -8 + 18x = (-38 + 5x) + 3x Combine like terms: 5x + 3x = 8x -8 + 18x = -38 + 8x Solving -8 + 18x = -38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 18x + -8x = -38 + 8x + -8x Combine like terms: 18x + -8x = 10x -8 + 10x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 10x = -38 + 0 -8 + 10x = -38 Add '8' to each side of the equation. -8 + 8 + 10x = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -38 + 8 10x = -38 + 8 Combine like terms: -38 + 8 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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