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Simplifying 6(x + 5) + -1(4x + -7) = 0 Reorder the terms: 6(5 + x) + -1(4x + -7) = 0 (5 * 6 + x * 6) + -1(4x + -7) = 0 (30 + 6x) + -1(4x + -7) = 0 Reorder the terms: 30 + 6x + -1(-7 + 4x) = 0 30 + 6x + (-7 * -1 + 4x * -1) = 0 30 + 6x + (7 + -4x) = 0 Reorder the terms: 30 + 7 + 6x + -4x = 0 Combine like terms: 30 + 7 = 37 37 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 37 + 2x = 0 Solving 37 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 2x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 2x = 0 + -37 2x = 0 + -37 Combine like terms: 0 + -37 = -37 2x = -37 Divide each side by '2'. x = -18.5 Simplifying x = -18.5
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