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Simplifying -71 = 4(3x + -4) + -1x Reorder the terms: -71 = 4(-4 + 3x) + -1x -71 = (-4 * 4 + 3x * 4) + -1x -71 = (-16 + 12x) + -1x Combine like terms: 12x + -1x = 11x -71 = -16 + 11x Solving -71 = -16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -71 + -11x = -16 + 11x + -11x Combine like terms: 11x + -11x = 0 -71 + -11x = -16 + 0 -71 + -11x = -16 Add '71' to each side of the equation. -71 + 71 + -11x = -16 + 71 Combine like terms: -71 + 71 = 0 0 + -11x = -16 + 71 -11x = -16 + 71 Combine like terms: -16 + 71 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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