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Simplifying 3(5x + -4) + -1(3x + 2) = 16 Reorder the terms: 3(-4 + 5x) + -1(3x + 2) = 16 (-4 * 3 + 5x * 3) + -1(3x + 2) = 16 (-12 + 15x) + -1(3x + 2) = 16 Reorder the terms: -12 + 15x + -1(2 + 3x) = 16 -12 + 15x + (2 * -1 + 3x * -1) = 16 -12 + 15x + (-2 + -3x) = 16 Reorder the terms: -12 + -2 + 15x + -3x = 16 Combine like terms: -12 + -2 = -14 -14 + 15x + -3x = 16 Combine like terms: 15x + -3x = 12x -14 + 12x = 16 Solving -14 + 12x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 12x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 16 + 14 12x = 16 + 14 Combine like terms: 16 + 14 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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