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Simplifying 6(2x + -7) + -1(x + -16) = 0 Reorder the terms: 6(-7 + 2x) + -1(x + -16) = 0 (-7 * 6 + 2x * 6) + -1(x + -16) = 0 (-42 + 12x) + -1(x + -16) = 0 Reorder the terms: -42 + 12x + -1(-16 + x) = 0 -42 + 12x + (-16 * -1 + x * -1) = 0 -42 + 12x + (16 + -1x) = 0 Reorder the terms: -42 + 16 + 12x + -1x = 0 Combine like terms: -42 + 16 = -26 -26 + 12x + -1x = 0 Combine like terms: 12x + -1x = 11x -26 + 11x = 0 Solving -26 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 11x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = 0 + 26 11x = 0 + 26 Combine like terms: 0 + 26 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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