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Simplifying 2(x + 7) + -1(6x + -1) = 0 Reorder the terms: 2(7 + x) + -1(6x + -1) = 0 (7 * 2 + x * 2) + -1(6x + -1) = 0 (14 + 2x) + -1(6x + -1) = 0 Reorder the terms: 14 + 2x + -1(-1 + 6x) = 0 14 + 2x + (-1 * -1 + 6x * -1) = 0 14 + 2x + (1 + -6x) = 0 Reorder the terms: 14 + 1 + 2x + -6x = 0 Combine like terms: 14 + 1 = 15 15 + 2x + -6x = 0 Combine like terms: 2x + -6x = -4x 15 + -4x = 0 Solving 15 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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