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Simplifying 7(5 + 7) = x + -4(x + -2 + x + -4) Combine like terms: 5 + 7 = 12 7(12) = x + -4(x + -2 + x + -4) Multiply 7 * 12 84 = x + -4(x + -2 + x + -4) Reorder the terms: 84 = x + -4(-2 + -4 + x + x) Combine like terms: -2 + -4 = -6 84 = x + -4(-6 + x + x) Combine like terms: x + x = 2x 84 = x + -4(-6 + 2x) 84 = x + (-6 * -4 + 2x * -4) 84 = x + (24 + -8x) Reorder the terms: 84 = 24 + x + -8x Combine like terms: x + -8x = -7x 84 = 24 + -7x Solving 84 = 24 + -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 = 24 + -7x + 7x Combine like terms: -7x + 7x = 0 84 + 7x = 24 + 0 84 + 7x = 24 Add '-84' to each side of the equation. 84 + -84 + 7x = 24 + -84 Combine like terms: 84 + -84 = 0 0 + 7x = 24 + -84 7x = 24 + -84 Combine like terms: 24 + -84 = -60 7x = -60 Divide each side by '7'. x = -8.571428571 Simplifying x = -8.571428571
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