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Simplifying -7(x + -4) = 8 + -6x Reorder the terms: -7(-4 + x) = 8 + -6x (-4 * -7 + x * -7) = 8 + -6x (28 + -7x) = 8 + -6x Solving 28 + -7x = 8 + -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. 28 + -7x + 6x = 8 + -6x + 6x Combine like terms: -7x + 6x = -1x 28 + -1x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + -1x = 8 + 0 28 + -1x = 8 Add '-28' to each side of the equation. 28 + -28 + -1x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 8 + -28 -1x = 8 + -28 Combine like terms: 8 + -28 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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