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Simplifying 3(x + -2) + 5(12 + -5x) = 16 Reorder the terms: 3(-2 + x) + 5(12 + -5x) = 16 (-2 * 3 + x * 3) + 5(12 + -5x) = 16 (-6 + 3x) + 5(12 + -5x) = 16 -6 + 3x + (12 * 5 + -5x * 5) = 16 -6 + 3x + (60 + -25x) = 16 Reorder the terms: -6 + 60 + 3x + -25x = 16 Combine like terms: -6 + 60 = 54 54 + 3x + -25x = 16 Combine like terms: 3x + -25x = -22x 54 + -22x = 16 Solving 54 + -22x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -22x = 16 + -54 Combine like terms: 54 + -54 = 0 0 + -22x = 16 + -54 -22x = 16 + -54 Combine like terms: 16 + -54 = -38 -22x = -38 Divide each side by '-22'. x = 1.727272727 Simplifying x = 1.727272727
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