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Simplifying -2(x + 8) = 3(4x + -1) Reorder the terms: -2(8 + x) = 3(4x + -1) (8 * -2 + x * -2) = 3(4x + -1) (-16 + -2x) = 3(4x + -1) Reorder the terms: -16 + -2x = 3(-1 + 4x) -16 + -2x = (-1 * 3 + 4x * 3) -16 + -2x = (-3 + 12x) Solving -16 + -2x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + -2x + -12x = -3 + 12x + -12x Combine like terms: -2x + -12x = -14x -16 + -14x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -14x = -3 + 0 -16 + -14x = -3 Add '16' to each side of the equation. -16 + 16 + -14x = -3 + 16 Combine like terms: -16 + 16 = 0 0 + -14x = -3 + 16 -14x = -3 + 16 Combine like terms: -3 + 16 = 13 -14x = 13 Divide each side by '-14'. x = -0.9285714286 Simplifying x = -0.9285714286
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