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Simplifying -7(x + -8) = 4 + -6x Reorder the terms: -7(-8 + x) = 4 + -6x (-8 * -7 + x * -7) = 4 + -6x (56 + -7x) = 4 + -6x Solving 56 + -7x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 56 + -7x + 6x = 4 + -6x + 6x Combine like terms: -7x + 6x = -1x 56 + -1x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 56 + -1x = 4 + 0 56 + -1x = 4 Add '-56' to each side of the equation. 56 + -56 + -1x = 4 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = 4 + -56 -1x = 4 + -56 Combine like terms: 4 + -56 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52
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