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Simplifying -4x + 4(8 + -7x) = 4x + -4 -4x + (8 * 4 + -7x * 4) = 4x + -4 -4x + (32 + -28x) = 4x + -4 Reorder the terms: 32 + -4x + -28x = 4x + -4 Combine like terms: -4x + -28x = -32x 32 + -32x = 4x + -4 Reorder the terms: 32 + -32x = -4 + 4x Solving 32 + -32x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + -32x + -4x = -4 + 4x + -4x Combine like terms: -32x + -4x = -36x 32 + -36x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -36x = -4 + 0 32 + -36x = -4 Add '-32' to each side of the equation. 32 + -32 + -36x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -36x = -4 + -32 -36x = -4 + -32 Combine like terms: -4 + -32 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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