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Simplifying -4(7x + 8) + -6x = -32 + 5x Reorder the terms: -4(8 + 7x) + -6x = -32 + 5x (8 * -4 + 7x * -4) + -6x = -32 + 5x (-32 + -28x) + -6x = -32 + 5x Combine like terms: -28x + -6x = -34x -32 + -34x = -32 + 5x Add '32' to each side of the equation. -32 + 32 + -34x = -32 + 32 + 5x Combine like terms: -32 + 32 = 0 0 + -34x = -32 + 32 + 5x -34x = -32 + 32 + 5x Combine like terms: -32 + 32 = 0 -34x = 0 + 5x -34x = 5x Solving -34x = 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. -34x + -5x = 5x + -5x Combine like terms: -34x + -5x = -39x -39x = 5x + -5x Combine like terms: 5x + -5x = 0 -39x = 0 Divide each side by '-39'. x = 0 Simplifying x = 0
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