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Simplifying 5(2x + 1) + -1(6x + -7) = 0 Reorder the terms: 5(1 + 2x) + -1(6x + -7) = 0 (1 * 5 + 2x * 5) + -1(6x + -7) = 0 (5 + 10x) + -1(6x + -7) = 0 Reorder the terms: 5 + 10x + -1(-7 + 6x) = 0 5 + 10x + (-7 * -1 + 6x * -1) = 0 5 + 10x + (7 + -6x) = 0 Reorder the terms: 5 + 7 + 10x + -6x = 0 Combine like terms: 5 + 7 = 12 12 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x 12 + 4x = 0 Solving 12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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