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Simplifying 78 + -1(x + 78 + -4x) = 78 + -4x Reorder the terms: 78 + -1(78 + x + -4x) = 78 + -4x Combine like terms: x + -4x = -3x 78 + -1(78 + -3x) = 78 + -4x 78 + (78 * -1 + -3x * -1) = 78 + -4x 78 + (-78 + 3x) = 78 + -4x Combine like terms: 78 + -78 = 0 0 + 3x = 78 + -4x 3x = 78 + -4x Solving 3x = 78 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3x + 4x = 78 + -4x + 4x Combine like terms: 3x + 4x = 7x 7x = 78 + -4x + 4x Combine like terms: -4x + 4x = 0 7x = 78 + 0 7x = 78 Divide each side by '7'. x = 11.14285714 Simplifying x = 11.14285714
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