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Simplifying -7(8x + 6) = 21 + 7x Reorder the terms: -7(6 + 8x) = 21 + 7x (6 * -7 + 8x * -7) = 21 + 7x (-42 + -56x) = 21 + 7x Solving -42 + -56x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -42 + -56x + -7x = 21 + 7x + -7x Combine like terms: -56x + -7x = -63x -42 + -63x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + -63x = 21 + 0 -42 + -63x = 21 Add '42' to each side of the equation. -42 + 42 + -63x = 21 + 42 Combine like terms: -42 + 42 = 0 0 + -63x = 21 + 42 -63x = 21 + 42 Combine like terms: 21 + 42 = 63 -63x = 63 Divide each side by '-63'. x = -1 Simplifying x = -1
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