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Simplifying 6(X + 5) + -1(4x + -4) = 0 Reorder the terms: 6(5 + X) + -1(4x + -4) = 0 (5 * 6 + X * 6) + -1(4x + -4) = 0 (30 + 6X) + -1(4x + -4) = 0 Reorder the terms: 30 + 6X + -1(-4 + 4x) = 0 30 + 6X + (-4 * -1 + 4x * -1) = 0 30 + 6X + (4 + -4x) = 0 Reorder the terms: 30 + 4 + 6X + -4x = 0 Combine like terms: 30 + 4 = 34 34 + 6X + -4x = 0 Solving 34 + 6X + -4x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 6X + -34 + -4x = 0 + -34 Reorder the terms: 34 + -34 + 6X + -4x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 6X + -4x = 0 + -34 6X + -4x = 0 + -34 Combine like terms: 0 + -34 = -34 6X + -4x = -34 Add '4x' to each side of the equation. 6X + -4x + 4x = -34 + 4x Combine like terms: -4x + 4x = 0 6X + 0 = -34 + 4x 6X = -34 + 4x Divide each side by '6'. X = -5.666666667 + 0.6666666667x Simplifying X = -5.666666667 + 0.6666666667x
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