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Simplifying 7(x + 12) = x + 4 + -8x Reorder the terms: 7(12 + x) = x + 4 + -8x (12 * 7 + x * 7) = x + 4 + -8x (84 + 7x) = x + 4 + -8x Reorder the terms: 84 + 7x = 4 + x + -8x Combine like terms: x + -8x = -7x 84 + 7x = 4 + -7x Solving 84 + 7x = 4 + -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. 84 + 7x + 7x = 4 + -7x + 7x Combine like terms: 7x + 7x = 14x 84 + 14x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 84 + 14x = 4 + 0 84 + 14x = 4 Add '-84' to each side of the equation. 84 + -84 + 14x = 4 + -84 Combine like terms: 84 + -84 = 0 0 + 14x = 4 + -84 14x = 4 + -84 Combine like terms: 4 + -84 = -80 14x = -80 Divide each side by '14'. x = -5.714285714 Simplifying x = -5.714285714
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