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Simplifying -1(2x + 7) = 8(-12 + 9x) Reorder the terms: -1(7 + 2x) = 8(-12 + 9x) (7 * -1 + 2x * -1) = 8(-12 + 9x) (-7 + -2x) = 8(-12 + 9x) -7 + -2x = (-12 * 8 + 9x * 8) -7 + -2x = (-96 + 72x) Solving -7 + -2x = -96 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -7 + -2x + -72x = -96 + 72x + -72x Combine like terms: -2x + -72x = -74x -7 + -74x = -96 + 72x + -72x Combine like terms: 72x + -72x = 0 -7 + -74x = -96 + 0 -7 + -74x = -96 Add '7' to each side of the equation. -7 + 7 + -74x = -96 + 7 Combine like terms: -7 + 7 = 0 0 + -74x = -96 + 7 -74x = -96 + 7 Combine like terms: -96 + 7 = -89 -74x = -89 Divide each side by '-74'. x = 1.202702703 Simplifying x = 1.202702703
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