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Simplifying 8(4x + 4) + -7(4x + -1) = x Reorder the terms: 8(4 + 4x) + -7(4x + -1) = x (4 * 8 + 4x * 8) + -7(4x + -1) = x (32 + 32x) + -7(4x + -1) = x Reorder the terms: 32 + 32x + -7(-1 + 4x) = x 32 + 32x + (-1 * -7 + 4x * -7) = x 32 + 32x + (7 + -28x) = x Reorder the terms: 32 + 7 + 32x + -28x = x Combine like terms: 32 + 7 = 39 39 + 32x + -28x = x Combine like terms: 32x + -28x = 4x 39 + 4x = x Solving 39 + 4x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 39 + 4x + -1x = x + -1x Combine like terms: 4x + -1x = 3x 39 + 3x = x + -1x Combine like terms: x + -1x = 0 39 + 3x = 0 Add '-39' to each side of the equation. 39 + -39 + 3x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 3x = 0 + -39 3x = 0 + -39 Combine like terms: 0 + -39 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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