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Simplifying 12(x + -2) + -3 = 16x + -71 Reorder the terms: 12(-2 + x) + -3 = 16x + -71 (-2 * 12 + x * 12) + -3 = 16x + -71 (-24 + 12x) + -3 = 16x + -71 Reorder the terms: -24 + -3 + 12x = 16x + -71 Combine like terms: -24 + -3 = -27 -27 + 12x = 16x + -71 Reorder the terms: -27 + 12x = -71 + 16x Solving -27 + 12x = -71 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -27 + 12x + -16x = -71 + 16x + -16x Combine like terms: 12x + -16x = -4x -27 + -4x = -71 + 16x + -16x Combine like terms: 16x + -16x = 0 -27 + -4x = -71 + 0 -27 + -4x = -71 Add '27' to each side of the equation. -27 + 27 + -4x = -71 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = -71 + 27 -4x = -71 + 27 Combine like terms: -71 + 27 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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