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Simplifying -32 + 3x = -8(4x + 4) + -6x Reorder the terms: -32 + 3x = -8(4 + 4x) + -6x -32 + 3x = (4 * -8 + 4x * -8) + -6x -32 + 3x = (-32 + -32x) + -6x Combine like terms: -32x + -6x = -38x -32 + 3x = -32 + -38x Add '32' to each side of the equation. -32 + 32 + 3x = -32 + 32 + -38x Combine like terms: -32 + 32 = 0 0 + 3x = -32 + 32 + -38x 3x = -32 + 32 + -38x Combine like terms: -32 + 32 = 0 3x = 0 + -38x 3x = -38x Solving 3x = -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 3x + 38x = -38x + 38x Combine like terms: 3x + 38x = 41x 41x = -38x + 38x Combine like terms: -38x + 38x = 0 41x = 0 Divide each side by '41'. x = 0 Simplifying x = 0
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